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

Yes.

The word fila is identical in meaning, spelling, and grammatical usage in both Brazilian and Continental Portuguese. It refers to a queue of people, a line of objects, or a sequence of things. The only difference is pronunciation. In Brazilian Portuguese, the vowels are typically more open and clearly articulated; the "a" at the end of "fila" is pronounced as a bright, clear [a]. In Continental Portuguese, unstressed vowels are often "reduced" or "closed," meaning the final "a" is pronounced much more subtly, almost like a neutralized, short [ɐ], and the "i" may be more tightly articulated.

Brazilian Portuguese Examples

1. A fila do banco está muito grande hoje. (The bank queue is very large today.)
2. Eu não gosto de ficar parado na fila do cinema. (I don't like standing in the movie theater line.)
3. Tem uma fila enorme na porta do show. (There is an enormous queue at the concert door.)
4. Você consegue ver o final da fila? (Can you see the end of the line?)
5. Por favor, entre na fila para ser atendido. (Please, get in line to be served.)

Continental Portuguese Examples

1. A fila do banco está muito grande hoje. (The bank queue is very large today.)
2. Eu não gosto de ficar parado na fila do cinema. (I don't like standing in the movie theater line.)
3. Tem uma fila enorme na porta do espetáculo. (There is an enormous queue at the show.)
4. Consegues ver o fim da fila? (Can you see the end of the line?)
5. Por favor, entra na fila para seres atendido. (Please, get in line to be served.)