If you can live with a FAT formatted stick then this may help
If you are using Linux file systems you need to understand filesystem ownership and permissions.
There is a lengthy article on the subject
Boiled down you need to mount the device - then change either the owner or the permissions on the stick’s filesystem. There is various tools and approaches to this but the dead simple one - which can be executed using a couple of commands in a terminal follows
Prerequisite - you know the device - e.g. it is listed by lsblk as /dev/sdy with one partition /dev/sdy1
Armed with the knowledge of your device address and partition number
Mount
$ sudo mount /dev/sdy1 /mnt
Assign world-wide read-write permissions to the any and all content of the stick
$ sudo chmod ugo-rwx /mnt -R
Unmount
$ sudo umount /dev/sdy1