Yes you can, I did it a few times a few summers ago where our hut only had a rubbish 2 ring electric stove but a rather nice communal BBQ.
Make your pizza (or just buy it from a shop
) and stick it on a metal tray, thicker the better (mine was only a couple of mm), stick it on BBQ and wait... The tray was practically ruined after a month but the pizzas were om nom nom.
Funnily enough the only takeaway in the village we were staying in (tiny village in the middle of the Pyrenees) was a pizza place...
The same BBQ also cooked the worlds best steak!