Question

At what condition does the acceleration due to gravity become zero when jumping from a certain height with a parachute?

Answer 1

As distance away from a body approaches infinity, the force (and therefore acceleration) due to the gravitational field approaches 0, so I guess at infinity, the acceleration due to gravity becomes 0?

Of course, infinity is not a real thing and no matter where you are in the universe, the gravitational pull will never be zero (and of course there will be gravity from the many many many many other objects).

Assuming you meant when the net force on a parachuter becomes zero, that would depend on the parachute and the person, and will become zero when the magnitude of the force of gravity equals the magnitude of the air resistance force. I spent a couple minutes but could not actually find a value for the terminal velocity of a skydiver with the parachute open so I will leave the answer at that.