Yes, one could think about a substructure, but
1) there are no experimental indications
2) something would have to be rather strange, b/c usually you get something like E ~ 1/L where E is the energy of the bound state and L is the typical length scale; b/c L is extremely small, energy E and Mass m = E ~ 1/L should be large; in reality quarks are nearly massless, so there would have to be some additional mechanism ruling out large quark masses (it cannot be spontaneous symmetry breaking + Goldstone mechanism b/c this always creates massless bosons whereas quarks are spin 1/2 fermions)