There are previous posts on SDN where people discussed similar situations and school (upenn) allowing the student to join in next year. Most of the schools don't have policies for such scenarios and make a decision case by case.
If it was any other school, you had a fair chance but ucla admin is insensitive to student issues so they may not bother about your personal issues.
That being said, if you have an emergency situation then you can try your luck but if your personal issues are money/visa related then they may not stand a chance.