No, you probably will not be able to obtain a license in Delaware while your license is under suspension in the state of Virginia. According to the DE Division of Motor Vehicles state law does not permit the DMV to issue a driver's license under certain circumstances.

In the Delaware DMV's list of situations in which they do not issue a license it is mentioned that you cannot obtain one if your license or driving privileges are suspended or revoked in any jurisdiction. You can contact the DE DMV directly to find out about your specific situation however likely you will need to get your VA driver's license reinstated before you can apply for a DE driver's license.