Is It Possible To Lookup Gearbox Serial Number Using Engine Serial Number?

I have to update that later in the day I received an unexpected call from Motive Aero which was one of the places I called earlier in the day and they actually ended up getting me lots of very useful info on the engine including what I was looking for earlier. They went out of their way to get the info for me and called me back using my number from caller ID I can only assume as I left no number. Everyone I dealt with today was very helpful and it helped greatly. I unfortunately was under a bit of a crunch and 2 days ago I sent a message in to Rotax for some info but had not heard back yet though it did say it could take several days.