Hello
I have been on birth control for about 8 years and some form of anti depressant/anxiety meds for about 5. No one has ever told me that it interferes with the pill, and thankfully i have never gotten pregnant. (not ready just yet). Im trying to recall if i ever saw it as a warning on the pamphlet the pharmacy gives you, which i normally always read. I dont recall seeing anyhting that i remember (which im sure i would have!) and no one has ever said anything to me...
And yes certain antibiotics do but anti depressants are different.
So i would say no.