Yes. You would need to create a C# script which blends textures (or whatever values you want for each morph) at the same time that the vertex positions are being morphed by your morphing rig.
Finally done! This took me quite a while since I got burnt out, but I finally managed to finish it. The character and rig was already done last year, I just had to do the animations but I also wanted to show it in game so I was working on the animations while making the Unity project which took me a whole 2 months to make.…