Yes, too much fuel means the aircraft could exceed it's maximum landing weight on arrival.

Dumping fuel, due to environmental concerns, is not permitted except during emergencies and some planes (airbus for one) cannot dump fuel at all. Airlines will not dump it just because of a loading error on the ground.

I was on a 737 about 15 years ago that due to unexpected and strong tail winds, was fuel heavy on arrival at YYZ. To burn it off, the gear was lowered and we circled with gear down (and slats/flaps, but I am not sure how much) for about 30 minutes at what seemed like under 10k ft. Real inefficient flying, deliberately.