1. You can but you might be asked about it and will need to explain it.
2. They might ask why and you will again, have to explain it.
Here's something for you to think about. Your boss hasn't done his best to help you be successful but have you done your best in helping him be successful?
你可以试着跟老板说明你想读MBA的意图,但是这并不代表你一定会离开公司。首先,申请是个艰难的过程,不一定人人能申请到的,所以即使他帮你写recommendation,也不guarantee什么东西。你可以表态你只是想challenge yourself, see ur position in the peers等等之类的。再者,你也可以跟老板说就算你申请成功了,如果公司里有好的position你会继续留在公司,可能考虑defer你的offer。这样让人感觉就是公司有没有诚意留住你了,而不是你在逃避。