Yes, you can. The back of the PTT Button has a simple reusable tape on it and can typically be removed and reattached several times with no problem.
Over multiple detachments & reattachments, you may find that the stickiness wears off. In that case, simply remove the original tape and use a thin, 2-sided tape of your own to reattach.
If you use the PTT Button for work and prefer to not have it attached to your device while not working, you might consider having a ‘work’ phone case and a ‘personal’ phone case to avoid continued removal & reattachment of the PTT Button.