37 male thumb bent backwards not broken pushed it back into place. Severely bruised and swollen. It seems as if the bruise is moving down arm normal?

If is not broken. It could being dislocated because it bent backward and brusing and the pain there, check it out for possible ligament injury.
Yes, But. The injury described is suspicious of at least, a volar plate disruption with or without collateral ligament njury. Needs to be properly evaluated by a hand surgeon. At the very least need a splint. The bruise will extend into the forearm, as the blood is absorbed and drains over a period of one month, following the tunnel of the flexor tendon.