Yes, Columbia has a 1 year accelerated MBA program. I think Cornell might have one too.
https://www0.gsb.columbia.edu/mba/admissions/january
From CBS website,
Columbia Business School's 16-Month Option
Exact same program as the September start - same core, same cluster system - just without the summer internship.
Complete your full-time MBA program in four consecutive terms - and be out of the workforce for only 16 months.
Begin your MBA program when it's convenient for you - and enjoy the benefits of remaining at your job through the end of the calendar year.
Be part of a smaller class - network quickly, and form close ties with faculty members and students.
The Accelerated MBA is ideal for you if ...
you want to remain in the same industry.
you are sponsored by your company.
you are an entrepreneur.
you plan to return to your current employer.
you want to join your family business.
you have built a strong network in the industry of your choice.