The heat and mass transfer properties of a two-dimensional electrically conducting incompressible Maxwell fluid have been explored in the existence of, chemical reaction, heat generation/absorption, and thermal radiation. This was done by moving the fluid through a stretched sheet. Polymer extrusion and metal thinning are two instances of the vast importance of this topic from a practical standpoint. Using the appropriate similarity variables, it is feasible to non-dimensionalize the PDEs regulating the stream and their related boundary conditions. Fourth- and fifth-order Runge–Kutta–Fehlberg schemes are utilized to solve the resulting modified ODEs. The impact of the many thermo-physical parameters embedded in the system on the velocity, temperature, and concentration has been identified and quantitatively analyzed. When comparing our observations to those found in the literature, we find a lot of concordances when looking at case studies. The concentration distribution becomes more intense as the estimations of the chemical reaction parameter are improved, and the effect of thermal radiation is greater as the temperature rises. Thermophoresis is a transport force that arises when a temperature gradient exists. An increase in thermophoresis leads to a hotter surface since a thicker boundary layer means a higher temperature there.