There's presumably a difference between "possible" and "evidenced" - so NW Europe and Syria/Mesopotamia are already linked by sea and organisationally/politically under the Roman empire & you have army detachments moving frequently between one frontier and another. And that's a few hundred years worth of interaction. Plus Vikings sailing to Byzantium. Where do you stop really? But most mentions seem to be of 7th to 8th century & Arab conquest.
Anyway this article does propose the Norman period as a potential link to Britain:
"The changes observed during the Norman period could in part reflect an influx of Arabian blood into Western European horse stock, which is known from Iberia from the 8th century AD (Hyland,
1994). During this period, the Islamic Conquest in Spain provided Europe with access to novel horse lineages, written sources mention that the Normans were gifted horses of Spanish, French and Moorish origins (Fages et al.,
2019; Kelekna,
2009) something also reflected in ancient genomics (Fages et al.,
2019; Kelekna,
2009). It is possible that these more gracile Norman horses of mixed lineage were perfectly designed for Norman cavalry tactics (Davis,
1987), which were different from the ‘heavy’ cavalry tactics of later periods." (nb haven't looked up the references).