No. GDPR relates to personal data rather than corporate data. Additionally, personal data about directors is exempted as explained below.
Director Identities on Companies House
Here is a helpful explanation from Digital Content Manager of Companies House, Jonathan Moyle:
"Under section 163 of the Companies Act 2006, a director must register their date of birth (plus other details) when they're appointed. The company must then send this information to Companies House under section 167.
We have a duty to register this information and make it available to the public. For directors appointed after 10 October 2015, only the month and year from their date of birth will be publicly available.
The GDPR allows an exemption under Schedule 2, Part 1 (5) of the Data Protection Act 2018. This exemption applies to Companies House because we must make information about registered companies available to the public under the Companies Act 2006."
Source: https://companieshouse.blog.gov.uk/2019/06/11/how-were-reforming-the-com...