Not natively, but fairly easily. We’re using Laravel Vapor - it handles all the setup and deployment of Lambda bundles that include the app code and a PHP runtime. Smooth and fast so far.
Yeah; I'd imagine anyone technically savvy enough to use Lambda + API Gateway, in any form, is savvy enough to bundle PHP if they really want to use it. And if they're not savvy enough to do that, they're probably using hosted Wordpress somewhere and it's a moot point.
