Can I use two different computers to put music on my iPod touch?

To be clear, the issue is this:

I've been using a PC to transfer songs to my iPod, but that PC it's not working right now so I want to use my other PC to transfer songs while my official PC gets repaired. This new PC it's associated with my apple ID

Can I transfer songs from the new PC without loosing the previous songs that were on my iPod?