H-4 child of a domiciled H-1B parent Yes — by published rule
U of M barred list: B, C, D, F, J, M, O-2/O-3, P, Q, TN, TD cannot establish domicile; H (H-1B/H-4), L, A, E, G, K, O-1, R can. Minnesota State colleges may even charge resident rates to some internationals as pricing.