You can do this, the results may be off by 25 % or so.
Coordinate system is strain (abscissa) vs. stress (ordinate).
1) Straight line from 0,0 to YS/E,YS
where
YS is yield strength
E is Young's modulus obtained from a handbook or equivalent
2) Parabola from YS/E,YS to EL,YS
where
EL is elongation at break
The stress at break is just for convenience and symmetry. The maximum of the parabola can be placed at MEAN(YS/E,EL),TS
where
TS is the tensile strength