It is possible with some states, but not with every state. If you have a CDL (Commercial Drivers License) which gets suspended in one state, there is no state or territory of the US in which you'll be able to get licensed in while your license is suspended.
Also note that the state which suspends your license also suspends your driving privileges in that state, so, if you did obtain a license from out of state, and were pulled over in the state where your license was suspended, it would still be treated as if you were driving on a suspended license.
No
No
No
No
No
No
No
Yes. A suspended license is invalidated everywhere.
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No
No
For the most part, no. A suspended license means that you technically still have a license. And you are not allowed to have more than one license at a time. And a state will not issue you a license if you hold one in another state.