No, but Estonians are more like Scandinavians and Finns. There is debate as to whether Estonians are really Balts. But Lithuanians and Latvians are definitely.
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it's not the oldest language in the world, it's the language that is probably most similar (with latvian) to the original indo-european
the least derived from the ancestral indo european tongue (as spoken by the Yamnaya)