I can't see why not. Being on the North Shore as well, we begin our blackfishing in the fall shallow in water 10-18' within 300 yards of shore. Find the rocks and you'll find the blackfish.
Launching point will determine if you'd be better off with pedals then a paddle but no doubt it can be done. Check post from Damfisher here on NE, he bails them from a Kayak all fall.
EDIT: Damfisher, two minutes apart, like minds think alike