Will a judge require my ex to pay child support for college?

Our son is highly gifted and wants to attend Cornish College of the Arts here in Seattle. He isn’t qualifying for as much financial aid as he needs because his father makes too much money. I make a lot less and can only contribute so much to my son’s expenses. My ex can definitely afford to send our son to Cornish, but refuses to pay because he doesn’t want our son to go to an arts school. Is there anything I can do to get a court to order him to pay for some or all of our son’s college?