So how is this possible?
I assume, just buying another ledger? And then can use the same app with both ledger nanos?
And they will automatically have 2 different set of seed words and separate accounts?
The Bitcoin Chrome App (and every other app by ledger) is just an interface to 'speak' with your nano s.
So yes, you just have to buy another one and initialize it with a new seed (the ledger nano s automatically generates a new random seed upon initialization).
They will be completely seperated and there is no
connection between those two nanos.
Not sure what you mean with 'account'. You can create several accounts in a ledger nano s. This is for coins not getting 'mixed up' between those two accounts.
But those two ledgers will be completely different wallets, if thats what you meant with account.