Watch the Acoustic Rock online guitar lesson by Vicki Genfan from 30 Strumming Patterns You MUST Know
Here's a pattern using only your fingers - look Mom, no pick! The chords are E-A/E-EMa7/E-A/E and are based on the YES song, ‘I've Seen All Good People'.
The key here is to keep your right hand, wrist and arm relaxed. That probably means you have to practice it super slow for a bit. The sound of your fingers, instead of the pick is very different, so it's great to have the choice. Getting comfortable using your fingers in this way also gives you the chance to expand into some more advanced strumming patterns.