My answer is no also! Heat and light do not have masses because they are not matter!
For you to understand it, listen to men, you just need to answer these questions for you to know if it has mass!
Heat and Light
Is heat a solid? No
Is heat a liquid? No
Is heat a gas? No
Is light a solid? No
Is light a liquid? No
Is light a gas? No
(There are other states like plasma and I forgot the other one but it will be better not to tackle them so that we will not have a nose bleed.)
So, the answers are all no. Therefore, heat and light have no mass!