Yes after mopping the vinyl flooring you can safely use some flooring wax to wax the Vinyl flooring and keep it shining.
Lightly apply the wax and go over the floor with a mop but don't over do the wax on the Vinyl floor because it can become too slippery.
Usually you don't have to wax vinyl floors but you can do so if you want too.
Floor polish will also work well at keeping the Vinyl Floor shiny and not looking dull.