Yes, but getting the results you want may require a little work-- depending on the specifics of what you want to do.
To send the keyboard's MIDI output to another device (iPad, computer, etc.) without playing any of the keyboard's sounds, go into the keyboard's Function menu and turn the Local Control to Off. This essentially turns the keyboard into a MIDI keyboard controller so you can use it to play sounds generated by the other device.
However, if you actually want to use the keyboard's sounds for certain parts while using the other device's sounds for other parts, you'll need to have the other device echo or bounce the MIDI for those parts back to the keyboard so it can play them. For instance, if you want the style parts to be sounded by the other device but you want the keyboard parts (Main, Dual, and Split) to be sounded by the keyboard, then you'll need to have the other device send the MIDI data for channels 1, 2, and 3 back to the keyboard, but not the MIDI data for channels 9 through 16.