I don't see why you could not have them done in the same day. The titers are a blood draw, the others are vaccines...as has been point out. The military gives several different shots in one day to their forces all the time. When we went to Korea I had to have a PPD, Typhoid, Td, and flu all the same day. I can remember my husband being a human pin cushion before deployments.
I just had blood draw for MMR & Varicella titers.... and a PPD. I'm 50 so have actually had Rubella,(3 day measles or German measles) mumps, and varicella. Not Measles however. I've had a MMR vaccine and Td when I began doulaing in 2007 and I've had the full Hep B series. I'm not sure yet if we can wait until fall for the newest flu vaccine or not. I'm not crazy about being forced to take the H1N1 after talking with Dr. Bob Sears at the DONA Conference in 2009.... but there is no choice if I want to remain in my program.