I am not an expert in the working of sperm and such things however I know quiet alot about the brain and psych meds. I'm diagnosed with ADHD and I've suffered from anxiety, depression and other conditons.
ADHD-meds (Wywanse and immediate release dextro amphetamine) doens't kill or affect my sex drive, however SSRIs did. Cipralex(Lexapro) made it more difficult for me to ejaculate and Sertraline(Made it both more difficult for me to achieve erections and my ejaculate alot less.)
It took more than a year for me sexual function to fully return after quitting Cipralex(Lexapro):
So my answer to you is. Yes psych med certainly can have the effect which you mention
However ADHD-medication actually might increase my sex drive somewhat due to the extra energy.