i wouldnt, they come from different areas, have different needs, different temps and different diets. this means you cant exsactly leave a plate of greens, or snails in for the other species to eat.
rarely will you find two species of reptile mix or live happily together inthe wild. barbata, w. dragons and jacky's (those in my area) do not live int he same area's. they dont mix, nor to do they live happily together, altot of herpers have notices this including raymond hoser. i too can see this happen in my own back yard. we have a blue tongue, to the side, around the pool in the leaf little. garden skinks in the mondo grass entertainment area/under to house. water dragon on the rocks, around the spa. then theres the occasional monitor int he tree's. now this seems in close proximity, but with walls and lines of tree's they dont really see each other, nor do they come out at the same times.
skinks scatter around unseen all day, the bluey is an early basker, then disapears. and the dragons come out late after noon, and quite often dont show up soome days.
on a larger scale. kuring gai national park is scattered with jacky's, and surrounding suburbs youll find water dragons, and after that (the beach front) you will find jacky's again.
i dont think its a good idea, they could both give each other a headache of injuries..
"i think the name i used didnt attract much attention" i think this is because the question has been answered several hundred times.. :lol: