Yes, they can .
Only if the medium to be glued is wood or paper.
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Yes glue will stick if the Thomson's is dry. I have glued various things to treated deck wood
if it is glued with a lino paste glue,you shouldn't have a problem with the uplift. If its glued with an acrylic glue you can rent a power stripper to make the uplift easier.
I've often glued wood and polystyrene parts with epoxy. It works well with dis-similar materials like that.
Well it depends what you are using it for to me Wood clue is stronger.
Home interior doors are made as a wood frame with a 'skin' glued to each side. These can be removed and new skins glued on, but it's not easy.
A better choice would be an epoxy glue. Super glue is not perfect on wood, painted or not.
If the glue was a good glue then you will damage the wood before the glue lets go. Glue goes into the pores of the wood and holds tight. Usually to separate the two pieces you would need to saw them apart. This would give you a smoother separation.
While using wood glue to help hold pieces in place can be useful, it is a temporary measure. You would not want the wooden framework of your house to have only glue as a support. There should be a more permanent means applied after the glue, like nails.
PVA is designed to work on porous materials only. It is a wood glue and not for metal
The only way that really works is to immerse them in water for at least a day, then you should be able to pry them apart.