You can but it will not last long under that abuse. That's why you hardly ever see automatic turbos...and the cost to beef up your auto far exceeds a 5 speed swap or an entire car swap.
2012 Mitsubishi Evolution X - 355 awhp / 350 awtq. Stock Turbo
2015 Lexus NX200T - Wife's Daily
2004 Honda Accord EX-L - Daily