It’s not common for ponies, no.

Typically it’d take a unicorn’s magic to maintain the balance and speed necessary to match a Griffon. But if it’s a unicorn fighting, usually they’d be throwing around magic spells at a distance. Plus, unicorns aren’t exactly renounced for their physical prowess. Takes yet another spell to give them the kind of strength to stand up against what an earth or pegusus pony would be capable of. Which means being effective in two specific fields of magic.

Pegesus can box effectively, but typically their style of combat involves a lot of dives and grabs to throw their opponent off balance.