No, I would use "to". Or you could say "Does your tattoo have a particular meaning?"
Is there a meaning for/to your tattoo?
Can both be used?
I'm not sure about "of". We can say: "Can you explain to me the meaning of this sentence?" Is it possible to use "of" in this context?
Please, correct all my mistakes. I should know English perfectly and if you show me my mistakes I will achieve my dream a little bit faster. A lot of thanks.
Not a teacher nor a native speaker.
Remember - if you don't use correct capitalisation, punctuation and spacing, anything you write will be incorrect.