You cannot get online without this. The TC-605 typically uses an Intel or Realtek Ethernet controller.
Unofficially yes. The TC-605 has a 4th Gen Intel Core CPU (Haswell), which Microsoft does not officially support for Windows 11. However, you can bypass the TPM 2.0 check. Expect no official drivers from Acer, but Windows 10 drivers work. acer aspire tc-605 drivers