Hey Nick,
Cantera doesn't have any built-in flamelet-generated manifold tabulation capabilities, so you would need to write your own tabulation tool to generate tables. What are the 5 dimensions you are tabulating? Z, Z'', C, ?, ?. If writing your own tabulation is outside of the scope of the work you are looking to do, and you are only considering ideal gas reactions,
Spitfire has some pretty nice tutorials for generating FGM tables directly.
-Chris