No, it is unlikely that you would be able to obtain a driver's license in another state if your current driver's license is revoked.
All states check the Problem Driver Pointer System (PDPS) and/or National Driver Register (NDR) to see if a driver's license applicant is listed.
The PDPS helps search the NDR which is a central database of information on problem drivers (those whose license has been revoked, suspended, canceled or denied or have been convicted of serious traffic related offenses) provided by all 51 US jurisdictions.
Based on information received as a result of an NDR search, PDPS will "point" the inquiring jurisdiction to the State of Record, where an individual's driver status and history information is stored. The PDPS is intended to assist jurisdictions in the meeting the basic tenet that has been in the works of the US that "each driver, nationwide, have only one driver license and one record."
If you are moving and need to obtain a license in new state, you will need to clear up the issue in the state where your license is revoked in most cases before receiving a new driver's license.
For example the Ohio Bureau of Motor Vehicles states that drivers must present a clearance letter from the Bureau or Department of Motor Vehicles in the state(s) in which he/she was suspended (or revoked) or PDPS must indicate an ELIGIBLE status.