Is it possible to make a Vault portable using a USB Stick?

Hello,

i am trying to make a portable vault on a USB Stick that I can use between multiple computers, but I am only able to use the vault on the computer that I created it with because when I try to open the vault with another computer i can look at all the files but as soon as I try to change something i get the following error:

Write to the file /mnt/vault/journal/2022_09_11.md failed, Error: EPERM: operation not permitted, chmod "/mnt/vault/journals/2022_09_11.md

Is it possible to “transfer” the permission to modify the vault on a USB Stick?
In my case I cannot use cloud services and I need the data on the USB Stick.

Thanks in advance!