interface Logger {
   fun log(value:String)
}
context(Logger)
open class A

class B(): A()

Do i need a Logger context to create a object of class B?

Currently, such snippet of code throws compilation error

No required context receiver found: Logger: Ctx { class A }

during `A`'s constructor invocation. So you should put

B

in `Logger`'s context. Thus, your question is resolved by itself.