As per this question, it seems apparent that one doesn't make the morning blessings until at least alos hashachar.
However, in Rabbi Avraham Greenbaum's book "The Sweetest Hour: Tikkun Chatzot," on page 31-32, he says:
Those intending to engage in Torah study after Chatzot should recite Birkhot HaTorah, the blessings over the Torah, and they may also recite Birkhot HaShachar, the Morning Blessings, if they wish.
Is there a difference in the halacha of hand-washing and morning berachos if one gets up for Tikkun Chatzos?