As far as I know, exchanges operate separately and they can't be linked with the hardware wallet or can they ?
If you mean to connect the exchange as a client where the HW can sign its transactions, then it's only possible if the exchange has an integrated hot/watch-only wallet.
DEX has a possibility of implementing something like this since it has self-custodial wallet built-in.
If you mean "
connect the wallet to a service" like signing an approval to permit a service to access your funds (
e.g. ETH-based tokens, not Bitcoins).
Then, the hardware wallet is basically indirectly connected to it, not the private keys but the funds that it can control.
In this case, your HW can't protect you once you already approved a service to spend from the associated wallet.
This is why "
revoking" is important in cases like this. (
heads up to @korakwinband once his HW setup is up and running)