No. There are no "Federal" LLC's so each state rmakes their own rules. You can form a company in another state and register as a foreign company in many states. There are disadvantages if you get sued in that state you may end up litigating in a state that is not where you live. Taxation may also be an issue as well as costs to maintain the company. I generally suggest that you form the company in the state that you operate. It is simple and usually costs less than $1,000 to have it professionally formed or you can do it yourself for less. Just remember it is call a "legal entity" for a reason so it pays to have it formed properly.