TLDR: Yes, there are laws that require you to have a name since it's considered a first-generation right, but enforcing it can conflict with personal freedom.

Now, let’s expand on this:

The word "name" we use comes from the Latin nomen, which also derives from nominis, meaning designation. The early Indo-Europeans wanted to distinguish each other, so they started labeling things or people. We use names to characterize and identify a person.

In legal terms, names have historical functions:

Why did naming start being enforced?

There’s no simple answer, but over the years, emperors and feudal lords needed to label those under their rule to collect taxes. We see this in Sumerian and Mesopotamian tablets, Egyptian hieroglyphs, and Roman censuses. Now, having looked at the historical function of names, we ask: is it necessary to have one?

Usually, names are chosen by legal guardians, such as parents. Many people see this as an imposition, and indeed, the State today allows people to reject their birth names and choose another as a reflection of personal autonomy.

This is where social responsibility comes in. The laws originating thousands of years ago require each individual to act according to their individual obligations. Without this, it would be impossible to assign you legal rights and obligations. In matters of inheritance or crime, having an identity is the starting point.

So, do I need to have a name?

Here, I think the analysis narrows down to:

This is where the State itself allows name changes but within legal limits.

So, what’s the answer? No, they cannot impose an identity on you, as identity changes over time. The real issue lies in the imposition or lack of labeling by a State. A person identifies by a name, which could change tomorrow. States tend to discourage this as it affects one of their primary tasks mentioned earlier: taxation.

Remember, according to the State, you own your country because there's a social contract.