No not quite. Setting sample rates must be done manually on each device and they must match. Also keep in mind what your gear actually supports. The Studio 192 supports ADAT over 44.1kHz, 48kHz (@ 8 channels) and 88.2kHz and 96kHz (@4 Channels) using SMUX.
If you externally clocked converter or interface you're connecting to supports a higher sample rate that is an equal divisible of the sample rate the Studio 192 is on, it may actually lock, however that doesn't mean audio will pass, and if it does, it will sound strange or distorted.
For example 48 divides into 192, 4 times.
Be sure to set the Studio 192 and your external converter to be the same supported sample rate for each device so they match.