Hi, Peter; welcome!
You didn't fill out a profile, so other members wouldn't know whether or not you have access to a tablesaw(?).
For what you want to accomplish, sure, you could cut the staves out oversized, and hand plane them down to a perfect fit, but that assumes a lot of hands-on experience on your part. Might be a fun learning project, but don't expect a perfect fit first time out of the gate; that's going to take practice. But as I said, a great learning experience.
I've been working with wood since my teens, but that'd be a challenge for me.
Begging the use of a tablesaw is your best short term answer.