…if they meet the necessary requirements. https://www.gov.uk/bring-pet-to-great-britain:
“You can enter or return to Great Britain with your pet cat, dog or ferret if it:
- has been microchipped
- has a pet passport or health certificate
- has been vaccinated against rabies - it will also need a blood test if you’re travelling from an country that is not ‘listed’
You must use an approved route - unless you’re travelling within the UK or from Ireland.
You need to fill in a declaration if you are not going to sell or transfer the ownership of your pet.
Dogs must also usually have a tapeworm treatment.”