Sure.
Say that Repeated Task 2 can be implemented as a two-way choice. Now the design looks like:
Initial Task
DO WHILE not yet done
'Repeated Task
Repeated Task 1
IF test-between-choices THEN
Repeated Task 2A
ELSE
Repeated Task 2B
END IF
Repeated Task 3
LOOP
' Final Task
IF test-between-choices THEN
Final Task A
ELSE
Final Task B
END IF
END
In a flowchart such as the above, can you always find a path from Start to End?