is it possible to go and install a suspension onto a bike that dosen't have any suspension?
You could add a suspension fork (this bike seems to come with a very low quality one) or suspension seatpost or suspension stem. 

On such a low end bike though, only the suspension seatpost would make sense -- for the other options, you're more likely better off getting a new bike.

Another option is to get the biggest tires that fit and run them at a low pressure, which should provide some shock absorption. But this bike wasn't intended for use off-road really -- just to be ridden a few miles on road.