It is on a coach by coach basis. Chris Peterson will pull an offer if you visit another school, but he is the exception. Most big schools will let you take visits as it is part of big time recruiting. Alabama, USC, Ohio st all play the game. However, they have different rules for different players. If it’s a five star they will let you take other visits, but if it’s a three star they may not.
Utah has pulled offers for low level kids who take visits elsewhere but neither school is in a position to do this for Chase.