Hello Thomas,
The answer is yes - it works with S32 Design Studio.
The ETPU package you download is already compiled by ETPU compiler (you can check etpu_set.h for the ETPU code binary image). Remaining .c and .h files is a "glue code" to interface ETPU with a host MCU.
In fact the ETPU functions (binary image) you download from web is compiled by CodeWarrior for ETPU. Therefore they reference it as "Code Warrior eTPU Function Selection Tool."
regards,
Stan