can you do it ?

Assuming the question is straightforward, the obvious answer is no.

Each fold of a sheet of paper makes it twice as thick as it was before folding. Folding it 16 times will make it 2^16 times thicker than a single sheet, which is 65,536 times the original thickness. A normal sized sheet of paper is about 0.1mm thick. Thus, folding it 16 times would result in a wad of paper 6.5m thick! (That's over 21 feet!)

Further, folding it in half, obviously, effectively halves the area of the paper. Taking out the same calculation as above, an 8.5"x11" sheet of paper folded in half 16 times would have an effective area of about 0.0014 sq. in. So we're talking about folding a sheet of paper into a wad that's roughly 0.037" x 0.037" x 252"?

There was a MythBusters episode where they took a gigantic sheet of very thin paper, laid it out in an airplane hangar, and folded it until they couldn't fold it anymore. They made 9 folds I believe.

But it might just be a trick question...

I'm guessing you mean an A4 size paper? If it is, then it's possible. Just keep on folding. The larger the paper, then more folds you can do. Also, the thickness of the paper counts too.

just did