is it possible to effect physics object with non physics character?

I guess I simple problem but I couldn’t solve. I have a box on my scene with rigidbody and I have a character without rigidbody. I want the box to affect when my character collide the box but it doesn’t. The box respects my character when drop on his head but character can’t affect the box. Of course it works when I add rigidbody component on my character but it doesn’t make sense to add rigidbody on character. I short “How can I move the box when I hit it with my character” (just like that: Half Life 1 Physics - YouTube)

See if this helps.