Can I Be Turned Down For Medigap Insurance? 
In NY , medically , YOU Can NOT be turned down for a Medicare Supplement . However , you still must be enrolled in both . Medicare Parts A and B and have no other Medicare Supplement or Medicare Advantage Plan . A Medicare beneficiary can only have 1 plan supplementing Medicare . If already enrolled in a Medicare Advantage Plan and want to change back to original Medicare , one must wait for either of the following 2 time periods , 10/15 to . 12/7 or 1/1 to 2/14 of a calendar year . 