Yes you can rent ski bikes in Arinsal, which would be organised from the information desk at the top of the gondola, and yes you can take them on the lifts.
I read in another online resource, that it is possible to rent the Trikke Skki in both Arinsal and Pal and that it can be used on all slopes and lifts in the resort.
Can someone confirm if this is true and can you also share the contact details of the rental company so that I can make a booking.