So, yes and no. Acceleration due to gravity impacts all objects equally. With no air resistance, on earth, everything speeds up at 9.8m/s/s. But, that "no air resistance" is a big asterisk. This is why, say, parachutes work. It's also how we get terminal velocity. Often misinterpreted as "how fast you'd have to go to die from a fall" it's actually "how fast you need to go before the drag from your air resistance is a force greater than or equal to gravity"