Yes, but because they will have been compressed to fit a DVD they will probably not be as sharp as the original DV files. Does your DVD Recorder provide alternate file formats in its copy feature (if so, what are they)?
Insanity is hereditary, you get it from your children
If the OP means two separate burners, or a physical player and a burner, then I strongly second John T's recommendation for ImgBurn, the great little free burning utility. It makes it very simple - put the DVD into the player/burner, launch ImgBurn and choose Copy Disc, pointing it to the other burner.
Tip: use Verbatim, or Taiyo Yuden blank media, and choose a slower burn rate, than the max. ImgBurn will allow this. I usually go between 2x and 4x, as my max, and 2.4x for any DL (DVD-9) disc.
If one only has one player/burner, then the DVD will be copied to the HDD, and then the user just removes that source disc from the burner at the prompt and replaces it with blank media. This works fine, but there are two operations, so it will take longer. The tips above still apply.
Since this is a byte-for-byte copy, the quality of that copy will be the same as from the original. If one is doing any editing in between, then the quality will suffer.