No, under the GDPR you don't have the right to have your content removed. You have the right to have personally identifiable data removed, things like names, IP addresses, phone numbers, ...

I'll link to the EU website that explains what they mean with personal data below, but I don't think a logo qualifies under their definition.

https://commission.europa.eu/law/law-topic/data-protection/reform/what-personal-data_en