As long as they are VAT registered then no. But you do need to make sure you have all the correct paperwork, put their vat number on your invoice and other things… here is a very good link from HMRC:

https://www.gov.uk/guidance/vat-exports-dispatches-and-supplying-goods-abroad#sales-to-someone-who-is-vat-registered-in-another-eu-country