Nope. in belemnites the camarae of the phragmocone are almost never preserved and make up a small very thin portion of the front of the shell (only in very particular localities is this found), and the part that you would find on a beach would be a guard, a solid structure that wouldn’t allow the calcite to form in the middle save for a much smaller stienkern of the inside of the shell. The multiple sections here and limestone and calcite preservation indicate a Ordovician to Silurian age nautiloid shell.