The question is … is that possible ?
Off course it is possible, you can use service like at updatEmail just contact the developer to register (because i think it still in beta version), and then you can set what twitter id linked to your account, and … voila … you can start using the service immediately.
So what are you waiting for … give the page a visit, and contact developer for more information.
Why i need this kind of service ?
Well … if you just can communicate through email, but don’t want to miss the moment to update status into your twitter, then you need this service. Grab one.