Not possible from the Nepal side. It's against the rules as it's a national park and you can't ride in past the park gates.
Whether it's even rideable is another question. It's a hiking trail primarily with things like steps and as such would be a push for even a trials bike. Before they shut it down to mountain biking, I met some Canadians that were riding/carrying their mountain bikes up, that was in 1989 and even for them sections weren't rideable. Squeezing past a yak train on a narrow hiking trail with a yawning cliff to one side wouldn't be a lot of fun on a motorbike.
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