Can I apply for Masters in Interior Design program without having a B.Des in Interior Design degree?

Yes, you can surely apply for a Master's in Interior Design if you don't even have a B.Des in Interior Design.

Many colleges accept students from different fields as long as they have a relevant bachelor's degree like Architecture, Fine Arts, Design, Civil Engineering, or any 10+2+3 degree.

So yes, it

While there are some colleges which do not require specifically B.Des ungergraduate degree for pursuing Masters. Whereas, on the other hand, most of the colleges ask for an undergraduate degree in either Interior Design or a related field to be eligible to pursue Maters in Interior Design. Thus, it