If you’re asking whether a live-disk usb is reusable the answer is yes. You can re-use a live usb as many times as you want (as long as you don’t partition it by accident during your install)

If you’re asking if you can use a usb as your file system, the answer is also yes, with the caveat that definitely do not want to plug it into a different computer.

I assume you want:

• a persistent Linux USB stick (basically you can take your OS and your files with you on the go, and everything is stored on the USB), and
• a Linux install on a desktop/laptop, which you created using your persistent USB from above.

I believe this is possible by just creating a Live USB stick with a persistent partition, you can store files on the persistent partition, and still have all of the installation tools you usually find in a Live USB. On Windows, this can be done with Rufus. Or you could use Ventoy as described in this guide.

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