No - HD Edit and Line 6 Monkey communicate with the HD device via usb only. You need to get the USB connection repaired if you want to use the HD with your computer.

EDIT: Ther is also a MIDI connection that can communicate with your computer if you have an external midi interface device, but that's generally useful only in your DAW. You can't run HD Edit or Monkey using the midi setup.

My usb broke also...

Here's my story on this problem.

For christmas my family bought me a Line 6 Pod HD 500. I experimented with it for a few weeks, then finally decided to record something. The second time I used this, I noticed the block came out of my usb port. I called a service center to see how much it would cost and he said he wouldn't know until he saw it, so I took it to the service center to ask how much it is going to cost and the manager said he was still not certain and that he would give me a call once he knew. I get a call telling me the repair will be 175$, I was shocked, especially once he said the part only cost $1.60. So I decided this problem was not worth that kind of money. I told them no, I can't pay that much, i'll just go pick it back up. He told me he would call me back if they could have the price reduced. I get a call, and they said they can reduce the price to $125 and again I said no. THEN... They said they had a $85 fee just to examine the unit. THEY NEVER TOLD ME THAT. I demanded to talk to the manager, then the manager told me they repair was already finished. The reason I was asking how much it would cost to repair is because I don't have much money to spend on this, but he could not give me a straight answer. If I knew it would cost that much, I would have just simply said no thanks.
Yes the USB is conveniant for fast record sessions, but NO it is not worth 175$ to replace a $1.60 piece that broke within the first 2 weeks of me getting it.

I am very dissatisfied with the situation I am in right now.

I would really like some help with this, I don't have $175 to throw down on this repair, and they repaired it without telling me a price.

Thankfully I found this thread and I'm not the only one, but again, really looking for some help.

I will probably call line 6 If I don't recieve help on this situation via this thread.