Question

will the gravitational force of the earth increase

Answer 1

No the gravitational force of the earth will not increase

Answer 2

gravitational force of will never increase or decrease but it can be if the radius of earth began increase or decrease.
if the radius increases then the force of gravitation on surface of earth be reduced.
and if it decreases the the force of gravitation on the surface of earth will increase.
but the radius of will never increase or decrease; so we can say that the gravitation force of earth will never increase or decrease.