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There were certainly words that were borrowed from Latin when the Angles and Saxons were living in continental Europe; a handful of them survive into modern English. We know this because the words also appear in other Germanic languages. Examples of such words are wine, pound and chest.
Wikipedia has a list of Britannic loans into English. A few of them are noted as possibly of Latin extraction originally, but it seems like most of this is unclear. "Sark" is more likely Germanic, and "bannock" seems only a possibility.