No, SS can be paid without affecting the debt ceiling.
"By law the Treasury is bound to redeem any bonds presented to it by the Social Security Administration. And when the Treasury does, total government debt subject to the debt limit falls by the amount of the redemption—thus freeing up the Treasury's ability to issue new bonds equal in amount to the redeemed Trust Fund bonds."
"By law the Treasury is bound to redeem any bonds presented to it by the Social Security Administration. And when the Treasury does, total government debt subject to the debt limit falls by the amount of the redemption—thus freeing up the Treasury's ability to issue new bonds equal in amount to the redeemed Trust Fund bonds."
http://online.wsj.com/article/SB1000142405311190355490457645...