A computer is a computer, a hard drive or HDD or hard disk is
this, thus a part of a computer, and there is no way a hard drive can read DVD's. A DVD drive reads DVD's, or, per metonymy, a computer does.
Are you sure the other computer has got a DVD reader ?
Are both computers (the one you burned your DVD on, and the one you're trying to read it with) running Windows XP ?
Do the files show on the DVD when you read it with the first computer ?