There is one on the main strip and there is a Harley store in the new Branson Landing area. That store is actually on the water. They don't sell bikes there, just clothing I believe and a few other HD things.
When I was leaving Branson last June, I had to stop at the place on the main strip and get some rain gear.
I'll be in the Branson area next week and will have a look about. I usually avoid the town, but we're headed that way with other family members, and I may have to go with the flow.