Yeah, easily.

Yes, it is possible. Now, go away and let me sleep!

Move a knight, black moves pawn one move forward, white moves knight back to its starting square, move pawn again.

That isn't the problem here... 

The real difficulty from this puzzle are the words, "White to move."

Try this to be more accurate...

now that was a funny puzzle

The only puzzle I can see is to work out why this "puzzle" appeared in the first place

it depends on number of moves

It's actually not, After 5... Nc6 it's a draw by repetion

only if its claimed!

Don't you love pedantry..