can't reach 5v with R2R DAC

The voltages you cite suggest that the op-amp is drawing 34 microamps from the network. That would not be unusual for a transistor-based op-amp, but surprising for a CMOS device as the 922 is described.

I have a suspicion that it is in fact your multimeter that is pulling down the voltages.

Of course, if you are merely using this to drive an audio amplifier, how closely it approaches 5V is quite irrelevant. It would seem to be working just fine.