I am not in the US but where I am from the contract usually says you are not allowed to work for another employer unless approved by your current employee. All the stories of overemployed get me kinda envious because I would never dare to try it myself.
In your jurisdiction (Europe?) you are likely fine doing it legally if you are a consultant/contractor (i.e. responsible for all taxes/insurances yourself) but not as an employee. So if you find two remote jobs in the US, you are good.
