Recycling a damaged Late 2015 into a late 2013 MBP Retina
Generally speaking no.
Most Mac laptops before the last couple of generations could only upgrade the RAM. Some you could upgrade the storage with a different drive or SSD module.
I know, heresy, to most Windows PC technicians but the fact is all current generation Mac laptops have zero upgradable parts. No RAM, No HD/SSD, no Processor, GPU or anything else. It's all integrated to the system board. And replacement means you have a talent for replacing surface mounted parts.
You can get info on what is what on the Macs in front of you at the excellent
https://everymac.com
They have all the specs for all the Macs down to whether or not you can replace, RAM, HD/SSD, GPU, etc.
And for a good place to find out how to replace/repair those bits that are repairable/replaceable, there is the wonderful
https://www.ifixit.com
With lots of pictures and HowTos on replacing and repairing a whole raft of Macs and other Apple Devices, not to mention lots of other computer equipment and electronic devices.
Some of what you want to do may be possible. Keyboards may be the same or similar and RAM and Storage/SSD/HD might be compatible or close enough to do some of what you want. Those two resources should start you on the way of discovering what, exactly, you can and can't mix and match with those two Macs.