You should check your provincial hunting regulations. In BC, you can't do it.
Offence — weapons
17 (1) A person commits an offence where he hunts
(a) with a rifle using
(i) a full metal jacketed non-expanding bullet, or
(ii) a tracer, incendiary, or explosive bullet,
(b) big game, other than lynx, bobcat or wolverine, with a rifle using a rimfire cartridge,
(c) with a shotgun using a tracer or incendiary shot shell,
(d) mountain sheep, mountain goat, elk, moose, caribou, bison or grizzly bear with a shotgun,
(e) deer, black bear, cougar, coyote, lynx, bobcat, wolverine or wolf with a shotgun
(i) less than 20 gauge, or
(ii) using a shot shell loaded with shot smaller than the shot size 1 Buck,
You might want to consider an inexpensive centrefire rifle.