Yes. Use the "Manova" fitting personality in the Fit Model platform with multiple response columns. In the Response Specification section of the resulting Manova Fit, check the box next to Univariate Tests Also. Then, click on the Choose Response drop down menu and select Repeated Measures. Click OK in the dialog that appears (edit the "Y Name" field if desired). In the resulting output, the epsilon adjusted F-tests are labeled "Univar G-G" (Greenhouse-Geisser) and "Univar H-F" (Huynh-Feldt).
[Previously JMP Note 35671]