Can wiping and reinstalling OS damage the SSD?
You would have to do that at least a couple hundred times to even remotely becoming an issue.  

There was an article on hardware.info where these guys put some SSDs through some torture tests and ended up "writing" what equated to about 22 years of data.  

The bottom line is that the drive's reliability will outlast your ability to fill it up and buy a newer bigger one.