Splitting hairs here, but can you - meaning do you have the ability to/are you capable of doing so? The answer is yes, of course.
Should you? Another question entirely.

Not being a smart ass here. Sounds like you've made your decision already but are looking for some backing.

I'd say go for what turns you on but don't be surprised if, as Christopher gently suggests, you end up learning chords anyway in spite of yourself.

By the way - fingerpicking has been my thing for a long, long time.  You won't regret a moment spent.