I've owned very few rifles that I couldn't get to shoot 1 1/4" 5-shot groups. Some took more work than others and some shot much better.
There's far more 1/2" groups fired on the internet than ever fired on a rifle range.....so don't get your expectations too high......and yes.....it might produce some little clover leafs occasionally!
Glass bed the action, free float the barrel, and try bullets known for accuracy.....Ballistic tips among them as well as SSTs
I have no experience with the break action rifle but the Stevens should produce good groups for you.....possibly MOA!