  We propose a platform for engineering helical fermions in a hybridized
double-quantum-wire setup. When our setup is proximity coupled to an $s$-wave
superconductor it can become a class $D$ topological superconductor exhibiting
Majorana zero modes. The goal of this proposal is to expand the group of
available Hamiltonians to those without strong Rashba spin-orbit interactions
which are essential to many other approaches. Furthermore, we show that there
exist electron-electron interactions that stabilize fractional excitations
which obey $\mathbb{Z}^{\,}_{3}$ parafermionic algebra.
