I don't believe so. I'd put the ring back on (for safety) and cut the jackshaft behind the pulley to get it off the kart, you said it needs to be replaced anyways so why not!? Try to leave a 1/4" sticking out though so you can file the cut edge smooth so it won't bind as you try to tap it out. I'm thinking because it's bent it got jammed when the pulley was attempted to be removed and that if you tap it out the opposite way it may just go easy once it gets started. Leave the ring on while doing this in case it decides to pop free or you could have a projectile that could cause some harm/damage. Once the jackshaft is out you could use a large bolt with washers to ensure it doesn't just fly apart on you as you try to get the cam off (after removing the ring of course) there's a fair bit of pressure behind that spring, take your time.