Can you put osb board on top of concrete?

No. The only wood that should come into contact with concrete should be pressure treated lumber. You could try fastening down some 1x4's to the concrete (i suggest glue in case you change your mind) in a 16" on center layout and then apply your OSB to that. I think that OSB and basements don't mix. Anything built below grade (ground level) is subject to the consistent temperature of the Earth depending on your location, thus subjecting your new project to condensation which is an enemy to OSB. OSB is like a sponge. If you live in a very arid environment, then go for it and good luck!