Is a hole lighter than air?

Answer 1

no

My AnswerYou have failed to define hole. As a hole is an area with nothing in it and you happen to mean a hole in the air the absence of air would create an volume lighter than air.

Of course you need a structure to maintain the absence of air so currently that wont work as a balloon.

Answer 2

A hole does not have physical properties like weight or mass since it is simply an absence of material. Therefore, a hole cannot be lighter than air.