Yes, you can.
Yes, on some MacBook Pros you can stop the left/right fan (without stopping the other) without having to physically yank the thing out. Be warned that this may damage you MacBook Pro, since the left fan may be cooling vital parts. But if you want to try, do this:
Download SMC fan control if you have not already done so. Click on it in the toolbar and go into preferances, and a window should come up where you can control the fans. Now, if you see two fans, left fan and right fan, you can do this.
Pull the slider for the left fan right down as low as it can go. Now, this will heat up the computer, so you must turn up the right fan to make up for it, otherwise: A, the computer will do it for you. B, the computer will overheat and be damaged. C, the computer will shutdown. So you must turn up the right fan to make up for it.
Hope that helps take care of the annoying left fan😀