I did that before playing ice hockey. The instructor kept it hockey specific and it was mostly just edge work and balance stuff. I was never fast but always thought my fluidity was my strong suit, and just being able to move around laterally, in reverse, & transitioning without thinking or hesitating.
You definitely need to learn to skate first before you can begin to incorporate the stick & puck. I've seen too many people, kids and adults, give up because they try to learn it all at once. Hockey is two separate sports combined.