No, it would be impossible to have direct entry.
You have to become an RN with a bachelors. You do not need your bachelors in nursing but there are pre reqs for each school somewhat different. You may also have to take a few extra classes.
Then you need a minimum of 1 year experience in an ICU. Get your CCRN and take the GRE exam. You are now eligible to apply from CRNA school. You are looking at a minimum of 4 years before eligibility assuming your phych degree has enough transfer classes to cut the program down a bit.
Maybe you should consider reading This:
HOW TO BECOME A CRNA
http://allnurses.com/forums/f227/rea...aq-123275.html