No, in the EU, you don't "own" the data about yourself in any meaningful sense. For example, under the GDPR, consent is just one of several potentially available legal bases for processing personal data — in fact, it's the one basis you usually want to avoid as a business if at all possible — which also means that for most uses of your data, you do not have any unqualified right to demand a controller cease processing or remove your personal data.
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