Yes, most definitely!
While many of the Nazi experiments were unscientific in their abhorrent cruelty, other cruel abhorrent Nazi experiments were quite scientific indeed and were taken up by non-Nazis after 1945.
According to a 2004 article in The Lancet:
Experiments in the context of aviation medicine were aimed at finding methods to help pilots survive after their planes had been hit at very high altitudes, or after an emergency landing at sea. The experiments, carried out in the Dachau concentration camp, focused on physiological questions, such as the effects on the human body of low pressure at high altitude, or of drinking salt water. The researchers responsible, such as Siegfried Ruff, Sigmund Rascher, and Georg Weltz, were all associated with university institutes or the German Air Force. For the high-altitude experiments, about 200 people were chosen from the camp prisoners, at least 70 of whom died during the experiments in a specially designed low-pressure cabin, or were killed afterwards to study the pathological changes in their brains. Judged strictly on scientific terms, the methods and results of some of these experiments were apparently innovative and useful. The US Air Force continued some of this research after the war and published the results in cooperation with a number of German physicians involved in the original experiments.
By contrast to historical narratives postulating the irrationality of Nazi science, it must be noted that medical research programmes in this political context pursued questions that were in some cases outdated, but which in other cases were in line with the prevailing standards of the international scientific community. The methods and techniques used also represented a broad range, from the conventional, even obsolete, to the innovative. In most cases, the practical implementation of these methods and techniques was brutal and showed total disregard for the suffering of the individuals concerned.
Nazi medicine and research on human beings
According to a 1989 article by William Seidelman in the International Journal of Health Services:
Data derived from research conducted on unknowing and unwitting subjects in death camps continue to be cited in authoritative contemporary medical literature.
Mengele Medicus: Medicine's Nazi Heritage
Still, the availability of the knowledge has not always resulted in its application in medicine. Besides the well-publicized hypothermia experiments, Nazis also learned about a poison, phosgene gas.
Use of data generated by the Nazis from the deadly phosgene gas experiments has also been considered, and rejected by the US Environmental Protection Agency, even though it could have helped save lives of those accidentally exposed.
To address a different, though related, question:
Did Josef Mengele's unethical collaborators continue to practice after 1945?
To the extent that medical knowledge is first-of-all personal and sometimes scientific, there can be no doubt that Nazi horrors have figured into modern medicine according to this article:
The leadership of the World Medical Association has, in fact, included physicians [who worked in Nazi medicine]. The president of the World Medical Association for 1973-4 was Dr Ernst Fromm (b 1917), of Hamburg, who had been a member of the SA (Nazi stormtroops) and SS terror organisations. In 1992 the World Medical Association appointed as president elect for 1993-4 Professor Dr Hans Joachim Sewering (b 1916), of Dachau. During the Hitler period Sewering was a member of the Nazi party and the SS, and he has been linked with the death of a 14 year old girl, Babette Froewis. In October 1943, on Sewering's order, Babette Froewis was sent from an institution for handicapped children where Sewering worked to the killing centre at Eglfing-Haar. Sewering was the German medical profession's representative to the World Medical Association from 1968 and in 1973 was appointed treasurer of the association. He was forced to step aside in January 1993 when his past was revealed outside Germany.
Nuremberg Lamentation: For the forgotten victims of medical science
According to this long-form newspaper article from 2003:
...Mengele's boss [Otmar Freiherr von] Verschuer escaped prosecution. Verschuer re- established his connections with California eugenicists who had gone underground and renamed their crusade "human genetics." Typical was an exchange July 25, 1946, when Popenoe wrote Verschuer, "It was indeed a pleasure to hear from you again. I have been very anxious about my colleagues in Germany . . . I suppose sterilization has been discontinued in Germany?" Popenoe offered tidbits about various American eugenics luminaries and then sent various eugenics publications. In a separate package, Popenoe sent some cocoa, coffee and other goodies.
Verschuer wrote back, "Your very friendly letter of 7/25 gave me a great deal of pleasure and you have my heartfelt thanks for it. The letter builds another bridge between your and my scientific work; I hope that this bridge will never again collapse but rather make possible valuable mutual enrichment and stimulation."
Soon, Verschuer again became a respected scientist in Germany and around the world. In 1949, he became a corresponding member of the newly formed American Society of Human Genetics, organized by American eugenicists and geneticists.
Eugenics and the Nazis -- the California connection, by Edwin Black
The takeaway from all of this, according to The Lancet's Volker Roelcke, is:
The historical experience strongly suggests the necessity of setting clear limits on research involving human beings. These limits should be defined with full respect for the participant's integrity and interests, and in accordance with the best available medical knowledge. The impetus to produce new knowledge, and the interests of society, or of potential future patients, are legitimate considerations, but these must not take priority over the research subject's free will and wellbeing. Finally, such regulations should be linked to forceful sanctions in case of violation. The debates surrounding the formulation, and the later revisions of the Declaration of Helsinki amply document the difficulties in implementing such regulations. Their practical application remains a constant challenge.