Is it possible to reface, re-laminate or only change doors of kitchen cabinets?

Ours kitchen cabinet are workmanship are terrible with lousy quality laminates.

It will be a waste to change the whole cabinet and the quartz top.

Yes, a carpenter can do re-laminate (defintely change door too) but it will be expensive. I engage a carpenter to relaminate my bedroom wardrobe 2 full height sliding doors and it cost me $320 (that is one of the lowest quote I get). Alternatively, you can get sticker laminate and DIY yourself, which is much cheaper. I used that for my kitchen cabinet, pretty easy to DIY if you know how to remove the door and put it back.

you may want to talk to cabinet repair companies here.