If that is the model you have, then sadly it cannot. That fountain needs to have the weight hanging off the wall as the basin cannot support any weight. What most of our clients do is mount the fountain so that its very very close to the floor so it looks like its free standing. Here is the fountain pictured above:

http://www.soothingwalls.com/inspiration-falls-wall-fountain.html

There is a floor model of this version now:

http://www.soothingwalls.com/harmony-river-floor-fountain-rear-mounted.html