Which type of heat transfer can happen through empty space? which type of heat transfer can happen through empty space? radiation conduction convection evaporation?

Answer is Radiation.

Conduction = It occurs after the physical contact of two objects.

Convection = It occurs when fluid is heated and it (molecules) rises or expands.

Evaporation = When water changes from liquid to gas. it is called evaporation.

whereas

Radiation = It is the emission of energy in the form of electromagnetic waves. It moves through a vacuum.