Yes! There are two ways to give someone else a Wearsafe Tag SOS Button.
You can remove your Tag SOS Button from the Devices screen and give it away. The new user will need to use their own service. If they already have service, they can pair the Tag and go right into using it. If they do not, they will need to purchase a separate Tag with activation. Older stock available through third-party retailers can be used for this, as long as the item you purchase says it includes a subscription.
If you want someone else to use your Tag as part of your own account, download the Wearsafe App on their smartphone, then add the Tag in the app as usual. They will be able to send alerts, and they will also receive notifications when any devices on your account start an alert.