No, on the contrary.

Owning yourself is another way of expressing that you are born free and sovereign; you are your own master, without external masters. (Except perhaps god if you are religious, yet that is a voluntary choice).

Your sovereignty as a free, self-governing individual is inherent in your biology. You can't transfer ownership of your body; your mind is still there. You can sell your organs, but this implies that you already own your body.

This goes back to John Locke whose ideas provided a groundwork for the abolition of slavery. When you own yourself, nobody else can lay a claim to own you, or the fruits of your labor. Hence slavery becomes a violation of property rights.

John Locke, 1690:

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"Every man has a "property" in his own "person". This nobody has any right to but himself. The "labour" of his body and the "work" of his hands, we may say, are properly his. (Part 2, Chapter 5.27, page 130, Two Treatises of Government)

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This is about individual sovereignty and liberty principles.