The reason varroa jumped species was because we originally exported our bees. If we hadn't done this it may never have happened.
Ireland/ New Zealand all had a ban on bee imports but they still got varroa. There is already evidence that Varroa mites occasionally wind up on flowers. In 2000, a
USDA inspector found a live mite in a refrigerated shipment of flowers from the Netherlands...suggesting that there could be more than one way for varroa to cross country borders.
Small hive beetle has managed to arrive in countries like USA and Australia where importation of bees was banned. Initially found in areas near major ports in Oz.
Asian Hornet seems to be doing it's best to establish itself in the UK and no-one is importing them
Perhaps more than one route for an invasive species to enter a country that has little or nothing to do with importation of bees.