No, but worst case if you decline the tatoo, you are fired.

Compare that you the very real request to attend a HR struggle session, or sign an expression of support of X cause in a letter

Now refuse. You, your friends, and your loved ones may end up fired AND, victims of a social media mob-lynching

As you can see, the downside is quite dramatic in 1 of the 2 scenarios. Tattoo is suddenly looking quite good!