Maybe, but the trap rolls for this character are quite unlucky in general. It is in second winter now, and out of two longer trap-fences, only one and only once had a reindeer herd trapped. I have most luck with fox traps (though more arctic foxes than red foxes) and with small lever traps/loops (which trap grouses, owls, raptors and hares mostly). I have trapped a couple of bears, lynxes or wolves in bigger traps, as well as some single reindeer and elks, but most of the kills in these species is from "free ranging" combat. Actually, most of kills in grouse is also that, thanks to thrown javelins and high Spear skill.
Recently I decided to redo most of the traps (disassemble and assemble again), maybe this will reroll them better. Also my PC has just learned the bear-trap spell, so I see how it works. It has 47 trapping or so now.
My character started even with lower trapping than 40, and I was setting a two dozen paw-traps repeatedly to get to 40, to be able to make fine traps for trade. But later it was enough to just make traps, with loops being the most used.