No, no, no. For this, use a one-time pad.
What you do is this:
Take your file (A). Generate a block of high-entropy random data (B).
Now generate (A xor B), and throw away A. You now have two random files, B and (A xor B), and B xor (A xor B) will give you A again.
A cute variant: instead of generating a really random B, use pseudo-random data generated from a known key (mp3 rip of some song of a particular version of a CD, gzip of linux kernel source), and don't even keep B with you; regenerate it on the other side. There are lots of ways to screw this trick up, though, so consult a cryptographer.
You could use more than 2 files if you want, the idea is basically the same.