How do constant current power supplies work?
The short answer is yes.  The CC supply will output as much voltage as necessary to generate the current.  So a 100 ohm load will have twice the voltage across it as a 50 ohm load.

Of course, the CC supply will not be able to increase output voltage forever, just as a CV supply cannot increase output current above a certain limit.

A CV supply will supply more power as the load resistance gets smaller, but a CC supply will supply more power as the load resistance gets larger.