Can I have more than 1 trading account with Sharekhan with same name?

No, Sharekhan doesn't allow to have multiple trading accounts with the same.

But you could open a trading account with a different stockbroker with the same name.

For Example;

1. Sanjiv Singh (PAN # AHAPK1900J) cannot have 2 trading or demat accounts with Sharekhan.
2. Sanjiv Singh (PAN # AHAPK1900J) can have a trading and demat account with Sharkhan and another trading and demat account with ICICI Direct.