have you found an answer? please update if you do, or someone else please answer this.
i am having the exact same question for my project. any help is deeply appreciated.
Unfortunately not and as far as it looks like there is no possibility except writing an own Event handler (copy of API Gateway handler) with custom parameters and validator. I wanted to pass an option to set a dynamic function that should be executed. Doing it now by checking event.resource and event.httpMethod in an index handler with many if else statements. Not the perfect way for sure but a workaround that works for me.