Yes you can do MPH Course in distance mode.Here are name of some of the institute you can persue MPH Distance Education.
Distance Academy, Kolkata.
Oscar Academy, Mumbai.
Study Guidance, Mumbai.
Global shiksha services,Malleshwaram.
Swami vivekananda institute of management and technology, Delhi.
Institute of career studies and management,mumbai.
Young Education academy, chennai.
Novartis career consultancy, Hydreabad.
Royal group of education, Delhi.
Perfect career education, Ahmedabad.
Enlighten international services, Hydreabad.