Could Destiny support and recharge a Puddle Jumper?
Short answerProbably, if the charging connection could be adapted; Destiny has substantial power, and both vessels use Ancient technology.
NotesA Puddle Jumper needs recharging, which raises a practical question about operating one from Destiny. The proposed solution is to adapt the charging arrangements, since Destiny regularly replenishes its own considerable power supply. Puddle Jumpers use Ancient technology rather than the naquadria fuel suggested in a later comment. Moving the craft through Destiny's internal corridors is unnecessary for the proposal.