It should work, I tested this on a simple model with 2 cubes on top of each other - one deformable and one rigid (due to rigid body constraint, not rigid elements). In the second model, both cubes are imported with their deformed configuration using File --> Import --> Part and selecting odb from the previous simulation. Also, an initial state field is applied to the one that was previously deformed and material is applied to the one that was previously rigid. They both act as deformable parts now.