NO, Winchester deer season XP 12 Guage slug requires a rifled barrel to work. And Stevens 320 SEC is a smooth bore. I hope this helps.

Richard, they will fire no issue but, without a rifled barrel, will not be very accurate without the rotational stability provided by a fully rifled barrel. Cheers and stay safe!

The Stevens 320 Security shotgun is loaded with hard-hitting tactical features including a smooth, reliable pump action, proven rotary bolt and dual slide-bars. This model combines an 18.5-inch security barrel, bead sights and a black matte synthetic stock. Available in 3-inch, 12-gauge chambering with cylinder choke, 14.5-inch length of pull, bottom-loading tube magazine and five-plus-one capacity.
You would need a rifled barrel to accurately shoot Winchester deer season XP 12 Guage, and the Stevens 320 does not have rifling.