You can - but you needt to be VERY careful - diethyl ether is highly flammable. The flash point for either is well below zero degrees C, and the auto ignition temperature is just 160 degrees C. Ether is also explosive in a wide range of air dilutions - so it is not just the inside of the rotary evaporator that you have to think about, but your whole laboratory environment.
Temperature needed to boil ether is dependent on the pressure - as with any vacuum based drying system. At 500mbar (half an atm) ether boils at +17 degrees C, and at 100mbar it boils at -17 degrees C. So very easy to boil.
Rotation is supposed to help mix the solvent so prevent bumping ( ha ha) - with this very volatile solvent then you will need to control the pressure to put the boiling point of the ether just under the water bath temperature or you will see a massive boiling event and all your sample will go the the condensate flask.
Yes a rotary evaporator (e.g Rotavapor from Buchi) is perfect for distilling diethyl ether. as already mentioned by Rob-Darrington, not much vacuum ist needed. I recommend not lower than 800 mbar (bp about 30°C) as you also my like to condense it in the condenser and nut just pump it to the Lab ;-).
I also recommend to do a peroxide test before distilling ether.