Yes, you would burn up because after the chute slows you down just a little bit, you’ll quickly smash into the atmosphere at a fairly steep angle. One way you might be able to avoid burning up is by firing a rocket downwards to slow your fall while dragging the giant (like, tens of square km) parachute behind you to reduce velocity. Then, maybe, it would be possible to reenter at a gentle speed, eventually shutting off the rocket entirely. Of course, this would probably require something close to a weightless and infinitely strong chute.