No, the puzzle that requires Shinnok's Amulet, Cetrion's Amulet and Kronika's Amulet is behind gate that required Dragon Amulet (gate near the pit bridge). Dragon Amulet is found in one of the chests in lava area underground (top right area of the map when in Goro's lair) - it's locked behind gate that requires Thundergod's Shattered Staff. You can get the staff by placing Amulet of Earthrealm's Protector (you get it for finishing tutorial tower in Towers of Time) into slot under broken's Raiden statue (the one that gets smashed by the meteor early on).
Shinnok's Amulet is essentially the last key item you're gonna get in the Krypt (either that or Cetrion's Amulet - you get it from placing her head on the spike in wall of warriors, which you get for performing fatality/brutality against her 25 times total).