If I received my refund on a turbo card, will my stimulus money go to the same card?

Unknown at this time ...

There is no official guidance for stimulus checks at this time.

Here is a Turbotax page where info will be posted as it becomes available …  COVID-19 TAX UPDATES. 

The IRS has a dedicated COVID-19 page that you can find by CLICKING HERE. 

Here is the SBTPG site … https://www.sbtpg.com/coronavirus-stimulus-payment-info/

These pages will continue to be updated with additional guidance as it is released.

If not, is there a way to update my banking info so that I can get it direct deposited

No there is not.