Short answer No, with a "but", long answer Yes, with an "if". It can be done, but it definitely isn't as easy as you'd think.
As there hasn't been much success (that I know of) in decrypting the format of Xbox DVDs (both Xbox and PS2 uses DVDs), the only way is to transfer the data from the disc while it is inside the console. This includes connecting the Xbox to your computer with an ethernet cable and using FTP to access the data. You'll need some tools, which most likely aren't legal, but can be
found around the web if you search for them.
You'll then need to burn it do a DVD, but as as that's not my area I can't say anything further.