REF35-Q1: REF power

No; all these series voltage references output a positive voltage, i.e., a voltage relative to the more negative supply rail.

Shunt voltage references (e.g., LM4060-Q1) can be used in both positive and negative applications, but are slightly harder to use.

I will second the above and also add this example from the REF35 datasheet showing how to generate a negative reference voltage:

Please let me know if there are any additional questions. 

Thanks,

Jackson