I don't think the numbers are so round and exact, but that claim is at least largely true.
United Technologies, who owns Carrier, is still closing down a nearby plant and moving a number of jobs to Mexico. See Business Insider:
Carrier's parent company, United Technologies, is still going forward
with its plan to close its Huntington, Indiana, plant and outsource
700 jobs to Mexico, according to local media reports.
In addition to the Huntington closure, 600 Carrier jobs will also
still be moving to Mexico.
Note, the figure there is 600, not the 550 reported by the Times (the Times quotes Chuck Jones saying "What nobody’s mentioning is 550 people are losing their jobs"). Fortune, for example, has it at "more than 500" or "about 500".
From Snopes, note that some of the jobs included in Trump's number of "saved" jobs were never slated to go in the first place.
Moreover, we learned, the stated total of 1,000-plus jobs to be
retained at the U.S. Carrier plant included 300 administrative and
engineering positions that were never slated for relocation in the
first place. The actual number of factory jobs saved as a result of
the Trump deal, therefore, is 800. The company also informed us that
the planned relocation of 700 jobs from United Technologies'
Huntington, Indiana plant to Mexico will move forward as well, making
the combined number of jobs Carrier and its parent company still plan
on relocating 1,300.