Checking accounts are loss leaders for most banks, even with low interest rates.
And big brokerages have offered this type of account for decades. It's usually called a "cash management account" and works just like a checking account--takes direct deposit, provides checks and an ATM card, etc.
Robinhood's innovation might simply be in calling it a "checking account" so the interest rate looks huge (it's actually small compared to expected investing returns) and marketing it to young people who are suspicious of big financial companies.