As BASE jumping does not require putting holes in rock walls like rock climbing or any other things like that its technology does not have a very big impact on the environment. Once you have the actual gear needed to do BASE jumping your impact on the environment basically stops there. The fossil fuels burnt to make the wingsuits, ram-air parachutes and so on is the only impact BASE jumping has on the environment. But even this is not a large impact as BASE jumping is very elite sport and there is only a small handful around the whole world who takes part in it. Also as BASE jumping is a very dangerous sport the equipment used is built to last so there is not a constant stream of demand.
