DAC Output 192/16 vs. 192/24 Will I Hear A Difference

Doubtful this spec alone will guide you.

I'm curious, are there any DAC's which can do 192/16 but NOT 192/24??

agree with erik...that spec, and other specs, are often only a small part, and don't need to worry about what chips are used as there is way more to good sound than that alone...

op,
    I do not have the "ear" that many of the established long time members here have.  My system is resolving enough for me to clearly hear quite a difference between standard 16/44 and 24/96.  At my skill level the move from 24/96 to 24/192 is much harder for me to pick out. That is my honest answer. I am 54 and do not have the ears of a 30 year old anymore. I think the original source material plays a large part.  IMO a quality DAC with an excellent analogue stage is a very wise decision. Money well spent. Cheers. 

Haven't seen any Qobuz tracks that are 192/16. Your Dac may quote this spec. 
192/24, 96/24, and 16/44.1 on Qobuz as far as I know.