Nope

No, Eurus belong to the BBC Sherlock adaptation of the Holmes stories, but Enola Holmes is based on the novel series of the same name by Nancy Springer. If you look into it, both of them have entirely different backstories and personalities. However, neither of them is present in the Canon of Sherlock Holmes by Arthur Conan Doyle.

Yeah there is a reason she is not in the original books.

Good god, NO!

Eurus is part villain, she LITERALLY KILLED VICTOR (redbeard) so that Sherlock would play with her.

While Enola is a good person, and she didn't kill Victor. Actually, there WAS NO VICTOR IN ENOLA HOLMES.

No!

Enola should evolve to become Eurus. Her mother has no issues about using terrorism, so the path is easy.

Note also the back history from Netflix film is not very different.

Enola does not remember her younger years, so perhaps she suffered some traumatic event too. Her brothers remember she used to play alone.

She kills a man during her first week in London. She disguises herself in very different roles. She has been trained politically by an anarchist mother. She doesn't worry a lot when she discovers the orsini bombs; she just substitutes her mother plan by a simpler one based on manipulation of the vote in the Lords.

We have seen Enola in the XIXth century, and Eurus in the XXIth century cycle. Enola could develop the affinity with her mother and become triggered after some event we ignore. It could be a different event in the XIXth and in the XXIth.