Is it possible to get dried acrylic paint out of fabric?

I did a craft project with a dress shirt on (I know, not the smartest thing I’ve ever done in my life) and got some black splatters on the peach colored fabric. I’m not sure offhand what kind of fabric it is, maybe rayon or some kind of shiny cotton. It looks like someone took magic marker and put little dots on the front of the shirt.

I put it in the wash and the black spots are still there. Will it be possible to get them out, or should I throw the shirt away?