Question

Is Energy from the Sun is transferred to Earth through convection.

Answer 1

False.

Radiation is the transfer of heat regardless of the presence of atoms or particles. 
There are three types of heat transfer or heat propagation; conduction, convection and radiation. Heat transfer is the process by which heat projects externally however, depending on the temperature and pressure. Also called the movement of heat from a low temperatured state which increases as heat progresses.
Conduction is the heat transfer by contact, immediate contact.
Convection is the transfer of heat through air and water.