No. It would only get damaged if you decided to put your tag in a microwave for a few minutes. But I don’t know why anyone would do that lol.
Also, something about fields. They recover on their own. If they ever get damaged, they start recovering lost energy and healing any damage. Might take some time but it starts doing it immediately to get back to the state it was in (if it was boosted then that becomes its natural state). Someone tried removing a lot of energy from a field with a servitor but soon after, the field started recovering back to its natural state.
Just thought that this would be reassuring to hear from those who worry about their fields getting damaged. I actually started randomly carrying one of Dale’s old fields (over 10 years old) and it is still pretty damned strong! I can only imagine how dream’s fields will be 10 years from now.