If your question is (because it's vague) - "should the chokes that came with your O/U, direct from the factory and included with the rifle, fit both the upper and lower barrels"? Then the answer is yes. They may require a touch of grease/choke lube (personally I put on a dab of anti-seize), but they should fit both barrels without issue - and finger tight, on extended chokes, without really reefing on it is all you need.
Now, if your question is instead "will a 12 gauge choke fit ANY 12 gauge"? then the answer is no. There are a few different "choke systems" out there - Rem Choke, WinChoke (same as Browning Invector), Browning Invector Plus - just to name the first three I can think of are ALL DIFFERENT - one will not fit the other - some have threads at the bottom of the choke, some at the top etc