In principle, this should be possible if you have sufficient data (like tensile tests, possibly with notched specimens of different geometries).

I have done some work in this field in the past using the method described in this paper

https://www.researchgate.net/publication/255723869_Inverse_parameter_identification_with_finite_element_simulations_using_knowledge-based_descriptors

but what I have done so far is unpublished, so I cannot share it.

Article Inverse parameter identification with finite element simulat...

Hello,

May be this will help you.

https://link.springer.com/article/10.1007/s11012-006-9019-5