No, I would not give a chin fruits of any kind, or treats for that matter if constipated, it will cause far more harm then good. Is the chin still pooping? or has it actually stopped? If still pooping I would try getting it out to play, moving around helps stimulate the gut to get things moving. If he has stopped pooping though he needs to go to the vet. Here is some more info on constipation,
Constipation (that website has a lot of other useful info too).
As tunes said in your other post though, it could just be stress of the new cage (also if you are stressed they can pick up on that and become stressed too), so long as he is still pooping, and not straining to poop, it's not an emergency. Keep an eye on him, make sure he is eating (hay and pellets only no treats) and drinking, getting some playtime, etc. If not better in a couple days, or gets worse (stops pooping, eating, or drinking, acts lethargic, etc) then I would take him in to the vet.