Man needs to see someone with anesthetics and antibiotics. Xray to rule out open trauma to the tuft bone is also required and if the hook is gone, they won't be able to know if osteomyelitis is a possibility down the road. (In this case, I'd say probably not, and lucky the hook shaft has no worm barbs).
My initial first aid case as a lifeguard was such a hook on a trolling spoon INTO the distal IP joint (dominant hand) of an eleven year old. Splint the spoon, disinfect the site, bandage and call Dad. Much the same in the city
If in the wilderness or need to return to the firing line, use my partner's Leatherman to cut off the hook eye, drip betadine on the hook shank, use a hot end of a coat hanger (I always bring a metal coathanger to the woods, too useful) to clear the end of the hook, then push it through, re-disinfect, bandage with disinfectant and a splint, and monitor at least twice a day for infection. Elevate.
And have my partner sit on the guy or lady while we did all this to him or her.
PS: A rule I learned was never to mess around with hands, eyes, and babies/pregnancies; you always lose.