Yes, they can interfere. Based upon my personal experience I became convinced medication was preventing me from experiencing any meaningful awareness of my own emotions. I went off them and found out I was right. However, after not having to deal with emotion, let alone any which are intense, I didn't know how to process any of it. The best I could do was suppress them, distraction, meditation, spending time dreaming up hypothetical situations where I had power, control, hope...

If my living situation were better I would not have had to go back on lamotrigine. But I did and so I went back to barely experiencing emotion, having difficulty forming memories...sigh. For years I believed that the constant apathy and difficulty with memory was just who I was, had become, and would forever be. Now, it seems, it has been medications which so greatly altered my ability to function, not depression, nor ADHD, or even bipolar, but psychotropic medications.