Are you wondering whether to send one over text/email/similar? Or whether to print one and let her take it to the next contact?
If you are considering contacting him outside of supervised contact to send him one, I don't necessarily think that's wrong, but I think first consider your safety. If you do this, will it give him a means to contact you he didn't have before, that could be open to abuse?
If you can do it safely, I think it would be a nice gesture to send it - it signals that you are doing what you can to promote your daughter's relationship with her other parent, which is a loving thing to do providing she loves him and enjoys the contact she has with him (which you say she does). Anything that helps make the co-parenting relationship as strong as it can be, is a good thing.
BUT only if you can do it and still say emotionally and physically safe. If sending it will open an avenue for him to abuse and hurt you, don't even consider it.
If you decide not to send one, you could ask her if she would like to print one off to take to contact with him, if you have access to a printer.
Good luck. It speaks well of you that you are thinking about this, even tho he has clearly hurt you very much in the past.