Do you mean polymer adsorption to other surface (e.g. metal) or adsorption of other materials to cured polymer? If the curing (= crosslinking) of a polymer is performed in the presence of another surface (e.g. if the curing starts form solution or in a bulk liquid mixture) the crosslinking process may proceed simultaneously with adsorption. Te surface may catalyze or otherwise modify the crosslinking process with respect to crosslinking in absence of the surface. Crosslinked polymer may also adsorb (or absorb) other, low molecular materials.
A cured polymer can absorb a liquid polymer by diffusion especially if the uncured polymer contains a solvent. That's the way silicons attach to each other and epoxies too.
I would suggest you to wet the cured polymer surface with acetone before applying the liquid polymer.
The answer should be: "YES". Because - first of all - all the polymers possess certain degree of porosity.
The amount of sorption by cured polymers depends on conditions: whether the sorption proceeds from the vapor or the cured polymer is immersed into liquid which by diffusion is sorbed.
I have conducted many experiments on adsorbtion of water by cured polymers by using FTIR. In this case - it is possible to distinguish (separate in time) 3 types of kinetics of adsorbtion.
1. formation of mono-molecular llayer of water molecules - on the surface of cured polymer - it proceeds very fast (within a few minutes)
2. Formation of poly-molecular layer of water on the surface.
3. Sorbtion into the bulk of cured polymer - depending on chemical nature of crosslinked polymer and the substance which is sorbed - it becomes seen after hours, but could take several days - to reach saturation.
I think the author of the question should give more precision. Adsorption or Absorption or sorption (both). Than, sorption of what: liquid or gas or whatever, and the conditions along with the degree of curing. Regards