Can Boba use move points, outside of his own activation to trigger his Rockets/Flames/Stim?

Say I use Jabba The Hutt on him. He then gets to attack and get 2 MP afterwards, can he use those to fire a rocket (if he haven't used the rocket yet this round)?

Rules as written yes.

The rules only say that movement points received out of your activation need to spent immediately as an interrupt and any remaining are lost.

They don't need to be spent for moving. There are several campaign missions where this also comes to play. (May be some skirmish missions too.)

This is probably why the abilities are not "Limit once per activation". (Also, "Limit once per activation" would prevent use outside of the activation phase.)