Can I put a convection toaster oven over the range?
Try searching for an over the range convection microwave on Google Product search. This type of oven combines the quick heating ability of a microwave and the browning feature of a convection oven.

As for your question of safety: Yes it's safe, as long as the oven was designed to be installed over a range/stove. Since you'll be boiling water, cooking, etc. on the stove below it, the design should incorporate some sort of exhaust fan or other method to deal with the resulting steam. Otherwise accumulated moisture could damage the appliance or possibly create a safety hazard with the possibility of an electrical short.