This article aims to study the effect of lattice distortion on the mechanical behavior of equi-atomic and non-equi-atomic configurations of high entropy alloys. Molecular dynamics-based simulations were performed with an embedded atomic method force field. Random alloy configuration of multiple elemental alloys (MEAs) was developed along with average atom (A-atom) configurations by modifying the embedded atom potential. The non-equi-atomic configuration of MEAs was generated by varying the contribution of Cr, Co, Fe, Cu, Ni, and Cr in pairs and all together. It was predicted from the simulations that the deformation governing mechanism, as well as the tensile strength of high entropy alloys, can be tailored by switching from equi-atomic to non-equi-atomic configurations of high entropy alloys. Increasing the composition of Cr, Fe, and Ni helps enhance the tensile strength and Young's modulus of the high entropy alloy, which is even higher than equi-atomic configurations. Partial Shockley dislocations, in conjunction with the phase change from fcc to hcp, primarily govern the deformation in the non-equi-atomic composition of MEAs. The tensile behaviour of MEAs was directly associated with the distortion present in the lattice, which was quantified with the help of the radial distribution function. It was revealed from the simulations that lattice distortion present in the random alloy configuration helps in improving the ductility of material by early onset of dislocation emission. A higher value of lattice distortion also increases the gap between the peak stress values in A-atom and random alloy configurations. The article will help develop high-entropy alloys for broader space, nuclear, defense, and energy generation applications.