It depends, but likely not. If it's not completely composted, it will compost further, but it won't kick-start your pile.
The
chicken manure is the right thing for getting it going, but you'll need it freshish. Straight chicken manure can be dissolved in
water and then sprayed on the pile as you go to get it the nitrogen it needs, or you can add chicken litter with
poop and
straw or shavings. Build it at least a cubic
yard and it'll heat up to around 170.
I've also used deep litter (litter that's been in the coop for a year) to put a 4-6" base in raised beds with soil on top. I started the beds in March and they composted in place. I put down weeper hose and mulch and I didn't fertilize all season except for dumping some rabbit poop on when I didn't have a spot for it. Best garden ever.