Create custom post type

I’m trying to create a custom post type via this API to no avail. I did not see the API call in docs either (POST probably?) – post type is mainly built with ACF data so I figured I could add the post somehow via this API. Am I mistaken and is this not possible?

http://mylocalpage/wp-json/acf/v2 shows my custom post type and route for
/acf/v2/my-custom-post-type/(?P<id>[\\d]+)/?(?P<field>[\\w\\-\\_]+)?

With this I can easily GET or update (PUT) stuff, but how to actually create a post? I tried only
http://mylocalpage/wp-json/acf/v2/my-custom-post-type and passing POST data to create it, but it says that ‘No route was found’.

I’m probably kicking in the dark here somehow.

Thanks for any help.

https://wordpress.org/plugins/acf-to-rest-api/