Only if the absorber gets significantly hot. Hot absorber can be a problem because it is usually a good thermal insulator and can stay hot a long time. So it may get hotter than you expect.
If it gets too hot it can catch fire. Most absorber fires are from DC or mains wiring faults where the absorber carries a small current that slowly warms it up until it catches fire, but microwaves or RF can heat up absorber too.
Absorber fires are dangerous, because they usually release large amounts of very poisonous gas and smoke.
@Malcolm thanks for the response. Then does the material chosen for absorber design have anything to do with controlling the generated heat. Kindly provide reference for the same.
I don't know of any RAM that is designed to control the heat. Usually there is not enough heat in the waves to make the ram hot. 10 W over a square metre is 1 mW/sq cm, for example, which is very low and won't cause problems. You'd need a kW to notice any temperature change over a square metre of ram, I think. RAM will always convert all the absorbed radiation into heat.