I suggest if youre looking for a shooty type hobby that doesnt involve actual guns, yes archery is very neat, though modern compound bows are comparably pricey to many guns…
Perhaps try paintballing or airsoft?
Frankly I’ve always found airsoft and the community around it pretty cringey, but I had a blast ‘woodsballing’ as a kid. The indoor competitive ranges I found silly… but it can be great fun to stomp around in the woods for a day, if you don’t mind huge bruises from getting hit haha!
Even so, probably most outdoor ranges have an area for chronoing (dialing in your gas pressure so your paint is flying at an appropriate speed) or just target practice, and you can probably just plink at such a range if you wanted to.