The answer
No. It keeps signing keys offline; a connected wallet, address or xpub may still reveal balances.
What to do next
Minimise unnecessary wallet connections and avoid exposing portfolio-wide xpubs.
Trezor hardware wallets
Hardware wallet related to device/backup security; not a guarantee of recovery or anonymity. Availability, supported assets and local eligibility must be checked before signing up or buying.
Visit Trezor hardware wallets ↗Official provider link · Compare suitability and availability before choosing.