Yes you can
There are some formal procedures which you have to follow.
You must provide an ID proof of your permanent residence in Indore eg (Family card , property documents, or a company letter) to Indore RTO
You must fill up a form attaching your permanent address and ID proof of your Indore House and a copy of your Driving licence (Mumbai RTO). I don’t know about how much you have to pay for the form it varies from state to state.
Your Driving license (Indore RTO) will be issued in 10 days. If your application and docs are in order.
This is the formal process which you must follow but It’s not required as you can use any state driving license to drive all over India.