I got banned for using cheats while playing Elite Dangerous about 2 years ago. Now I'm using another Steam account to buy this game again, can I still play this game?
Well, your account was banned
If your new steam account is using a different email address, eventually a different payment method then you should be able to play the game.
Basically you're just another customer.
However, if you break the rules again, you will be banned again.
Also... posting here is not going to do you any good, especially if the account you created here can be tracked to the newer steam account that you intend to buy the game again