can I do mba+pgdm integrated course together

MBA and PGDM are almost same course. If you really want to go for management studies, then go for Full time MBA from any reputed university. There's no meaning of doing MBA+PGDM integrated course. MBA + PGDM courses offered by most Institutes can be considered offering an outreach MBA, a distance MBA or a correspondence MBA alongside a certificate course such as PGDM. There is no logic doing a B.Tech + B.E or BBA + BBM, they are just same courses in different terminology.