Hi AKB,
I came across this thread and figured I could lend a hand, so I put together a very basic sample on how to use loopback on AWS lambda.
I used the serverless framework to get all the AWS infrastructure ready and because it has a simple way to wrap express applications ;-)
Please note that running loopback in lambda is a bit different than on a regular web server. For example, loopback boot scripts get executed multiple times (each time a lambda instance starts) so you may need to adjust your code when moving to lambda.
Please feel free to reach out in case you have any questions and I will do my best to answer them.
Have a great week!
Marcelo