Not Exactly, but Similar Ones Exist
I think the basic answer is "No." However, there are RV manuals out there that are not one brand specific, but that are pretty helpful. I'd recommend:
"RV Repair & Maintenance Manual" by Bob Livingston and published by Trailer Life Books. It helped me tremendously in the restoration of my coach.
Almost all of these trailers are the same, when it comes to the real nuts and bolts of them. All of the systems are basically the same. There might be other books out there, but I personally found this one to be excellent and guided me to be able to fix just about everything.
I've installed a new a/c unit, a new fridge, a new water heater, new faucet in the kitchen, a new water pump (twice), repaired a cracked water tank, three new roof vents (Maxxair Deluxe that you can run in the rain), replaced all the drain/waste plumbing, redid the shower curtain install, rewired it to 50amp with a completely new panel and converter, replaced gaucho with custom made bunkbeds, converted rear twins to a rear King bed...etc. etc.
This book is a good start. I think I paid about $17 for it.
You "might" be able to call Airstream and purchase one of their actual factory service manuals. Maybe. I really don't know. I did that for a Ford T-Bird I owned....got the actual Ford Factory Service Manual. But it was very expensive, and I don't know if Airstream sells them. Doesn't hurt to call though.
Best of luck,