I'm having some trouble playing chords on the second and third strings. I can play the chord, but the problem is that when picking I also hit the top string. What can I do to help fix this problem? Is there an excercise other than just more time playing?
Try to play more precisely to be able to accurately hit the strings you want. Practice slowly first.
Firstly, strum it slowly. If you're not doing it accurately now, it's unlike you'll become more accurate without practicing more slowly. Secondly, when playing guitar, you can usually find a way to mute the other strings with your finger tip(s). If you were playing a barre chord on the A string, the tip of your finger could mute the E string, for example.