Hormones are chemicals that carry certain signals throughout the body of any living animal.
If you eat, you're consuming hormones, lots and lots of hormones. Meat has it, plants have it, and milk has it, whether they "give it to the X" at the farm or not, it's there by default. The only question one can ask is how much, and is it SO out of whack that you'd expect a reasonable effect.
If one thinks about the millions of hormones that have passed through your system in your lifetime, it's hard to say what effect, if any, a specific hormone would have on you, or whether we could live without them at all. I would even ask if the human body responds at all to foreign hormones, Is cow estrogen the same thing as human?
Penn & Teller also did a whole Bullshit episode on Organic foods that covered all kinds of hormones/pesticides/GM/fertilizer/etc issues.
Edit: Check here, from about 3 minutes in:
Penn and Teller BS: Organic Food Myths Debunked (Excerpt)