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Yes, usally you just move the assets from your MM account to your Trezor account on-chain. For example, with BAT (ERC20) you would just SEND the BAT from the existing metamask address to the NEW Trezor address paying full blockchain fees along the way.
„Metamask“ can touch many EVM chains using many different EIPs, some which are very recent. EVMs and EIPs still under review may not have support in Trezor yet. But EIPs like EIP-20 (ERC20) or EIP-271 (ERC721) have full support in Trezor since they are final and have been for a while. But things like EIP-712 are just recently supported since the standard (EIP) is not even finalized yet.