Yes, it could. There are medications prescribed for depression that have been shown to raise libido in some patients. If you are finding the new, anti-depressants kill the libido to be problematic talk to your doctor about ways to manage your medication that may lessen the side effects.
Alternately, it is possible that your medication is just working. I know that we hear all the time that anti-depressants kill the libido, but it's not true for everyone. You may be someone who dodged this side effect. In that case, you may simply be feeling happier and more confident due to your medication and that could be the cause for the newly elevated libido.