Can we move in Indore city while in IIM Indore doing my PGP?

Yes, you can. But you will have fewer chances to go out even if you want to. Not at least in the first term. First of all the campus is situated around 20 km away from the main city of Indore at Rau. You can either use the free shuttle service offered by IIM Indore which leaves approximately every 1 hour and stops at all major stops in the city. You can also opt for the government bus service. Otherwise, you may use the Ola/Uber cab service which will pick you from inside the campus. But this will be pretty expensive.

But the important part is that you will be immersed in your summer internship processes, classes, projects along with the selection processes of various clubs and committees. So you will hardly get any time. It will progressively become more relaxing, but still, it will be difficult.

If you will get the time you can visit places such as C21 and Treasure Island malls, Chappan Dukan which is a street food paradise. If you do any live projects with some local clients, you will have to always visit the market.