single player, no, but teams are held to a salary cap, which is a limit on how much they can spend each season on players. The NFL and NHL have hard caps on salary, NBA and MLB are a bit looser, in those leagues if you go over the cap the team is taxed a percentage of the overage.
I was going through screenshots from my old phone and I found this from one of the older A1 threads Can't decide if it's the worst or best post I've ever made Probably both