Ice Skating In Virginia Can I Get In Trouble For Skating On The Pond In My Neighborhood If There's A "no Ice Skating Sign" Near It?

Can I get in trouble for skating on the pond in my neighborhood if there's a "no ice skating sign" near it? - ice skating in virginia

It says on the sign: "No skating / navigation / swimming"

You are in my S-Virginia, that is, they will be heard by the federal government. It will be heard by anyone and therefore not privately owned. On what grounds did the owners association (I am a part of), I must say that I stop? And can you really in trouble from the police?