It seems unlikely.
- Soy contains isoflavones which are said to mimic oestrogen.
- Many cattle are given growth promoting hormones - including oestrogen.
If the sources below are to be believed, the daily amount consumed in soya may be thousands of times greater than that consumed in beef.
- Soy: 30000 ng
- Beef: 4 ng or 20 ng.
The first two sources are not great and the products, quantities and consumers in them are not comparable. However I think they are at least indicative of the magnitude of the likely quantities.
According to The Guardian
It has been estimated that infants who are fed soya formula exclusively receive an amount of oestrogen equivalent to five birth control pills every day.
One birth control pill contains 30 to 35 micrograms (mcg) of EE (ethinyl estradiol - a synthetic oestrogen).
According to BeefMyths
3-ounce serving of beef from a steer treated with growth promotants contains 1.9 nanograms of estrogen.
3-ounce serving of beef from a steer raised without growth promotants, such as certified organic beef contains 1.3 nanograms of estrogen.
Sources: Food and Drug Administration; Hoffman and Evers; Scanga et al.; FSIS-USDA; Dr. Harlan Ritchie, Michigan State University; NCBA
In Possible health impact of animal oestrogens in food it says
The theoretical maximum daily intake (TMDI) of oestradiol-17β by consumption of cattle meat is calculated to be 4.3 ng. Following the use of oestradiol-containing growth-promoting agents TMDI is increased by a factor of 4.6 to 20 ng.