Can items of evidence be examined for both contact DNA and Latent Prints?

It depends!  Depending on the item (size, texture, material) it may be possible to swab the item for contact DNA and perform latent print analysis.  The recommended course of action is consult with a DNA analyst and/or a latent print analyst allowing for discussion, as a team, the best examination for the specific evidence and circumstance.  Sometimes analysts don’t know if both analyses can be performed until the evidence is viewed by each analyst.