When the target (left hand) is inside the mesh of this elliptical cube, I would like to use raycast to output a ray starting from the center of the cube and find the intersection of the meshes.Is this possible? If not, are there any other alternatives to achieve this?

The intersection of two closed meshes is a *volume*.

I’m not sure what you mean by intersection in this case. Do you mean minimum separation vector? (shortest translation that would take the hand out of the ellipse)