Is it possible to use CASE in LEFT JOIN?

Question

PostgreSQL

Is it possible to execute a query like this in Postgres:

SELECT
                                 c.controltype AS controltype,
                                 c.coretype AS coretype,
                                 g.name AS group_name,
                                 core.name AS corename,
                               FROM
                                 controls AS c
                               LEFT JOIN
                                 groups AS g
                                 ON
                                   g.id = c.group_id
                               LEFT JOIN
                                 (CASE
                                   WHEN coretype = 'Программа'
                                     THEN programs
                                   WHEN coretype = 'Дисциплина'
                                     THEN disciplines
                                   WHEN coretype = 'Модуль'
                                     THEN modules
                                   END)
                                 AS core
                                 ON
                                   c.core_id = core.id
                               LEFT JOIN
                                 users AS u
                                 ON
                                   u.id = c.teacher_id
                               WHERE
                                 id = :id

That is, depending on any value of the selected row, attach the table. Postgres makes a selection after all the tables have been reduced, but maybe there is still some kind of workaround?