Is it possible to trigger e-mail on specific CiviMember transition?
You could also use the CiviRules extension in combination with the Email API extension. 
That enables you to add a trigger for a membership change, set the condition to status is ...... and then send a mail. 

CiviRules can be found here: https://civicrm.org/extensions/civirules and the Email API here: https://civicrm.org/extensions/e-mail-api

Documentation on CiviRules is here: https://docs.civicrm.org/civirules/en/latest/