The short answer, explained
HMRC won't register you for VAT if it isn't convinced you're actually trading, or if the evidence you've provided doesn't stand up to scrutiny.
This usually follows a pre-registration verification check, where an officer asks for proof of trading activity, such as contracts, invoices, a business bank account or website, before allowing the registration through.
A refusal isn't necessarily final. It's often a request for better evidence dressed up as a rejection, and resubmitting with stronger proof frequently resolves it.

