Is it possible to enable API for a Customer Community user? Use case is to use 3rd part application to enter data into Leads, Accounts etc. I see the enable API in the Customer Community Login user profile but I cannot enable it. Any suggestion very much appreciated!
You cannot modify standard profiles directly .The common practice here is to clone the standard profile .Cloning will allow you to do API enablement .
With customer community login you still won't be able to create accounts .only customer community plus user licence will allow you to create accounts
For leads I would suggest you to use web to lead feature .