From my experience as an employer, I would say no. Written notice is legally binding... unless you can prove you were coerced or want a costly legal fight if you can even find an attorney who'd take the case.
Of course, I don't know you or your situation, but I would imagine an employer put in that position would either be thinking like Rob suggested, or that they don't want the company to invest any resources in an employee who isn't committed to being there and is probably job hunting.
It's always better to have something else lined up before you quit, but... now given your position, maybe try to think about what lead you to resign in the first place, trust/find that there was something valid in that decision, and start your job search NOW. No use in beating yourself up or playing woulda/shoulda/coulda....
Gook luck with everything.
Answered Jun 07, 2011
Edited Jun 07, 2011