Is the word escritora the same in Brazilian and European Portuguese?

Yes

The word "escritora" is identical in meaning, grammar, spelling, and usage in both Brazilian and Continental Portuguese. The only differences lie in pronunciation.

In Brazilian Portuguese, vowels—especially unstressed ones—tend to be more open and clearly articulated. In Continental Portuguese, there is a much stronger tendency toward vowel reduction, where unstressed vowels (like the "i" in escritora) are often "swallowed" or pronounced very briefly, making the word sound more clipped and consonant-heavy.

Brazilian Portuguese Examples

1. Ela é uma escritora muito famosa no Brasil. (She is a very famous writer in Brazil.)
2. Eu quero ser escritora quando eu crescer. (I want to be a writer when I grow up.)
3. Você conhece alguma escritora de suspense? (Do you know any suspense writer?)
4. A escritora lançou um livro novo ontem. (The writer released a new book yesterday.)
5. Ela trabalha como escritora de livros infantis. (She works as a children's book writer.)

Continental Portuguese Examples

1. Ela é uma escritora bastante famosa. (She is a quite famous writer.)
2. Eu pretendo ser escritora. (I intend to be a writer.)
3. Conheces alguma escritora portuguesa? (Do you know any Portuguese writer?)
4. A escritora está a preparar um novo romance. (The writer is preparing a new novel.)
5. Queres conhecer a escritora? (Do you want to meet the writer?)