I don't believe there are any restrictions on carrying a bow in a Provincial park.
I wouldn't walk around out of season with the bow in hand and a quiver full of broadheads with one on the nock hahaha.
Otherwise though, I'm not aware of any restrictions for archery equipment while in a Provincial Park, or a National Park for that matter.
As they say the internet is the worst place to go for legal advice, I'd check this site and fire them an e-mail if you can't find the info posted.
http://tprc.alberta.ca/parks/
Good luck!