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

Yes

The word "nele" is a contraction of the preposition em (in, on, or at) and the pronoun ele (him or it). There are no differences in meaning, grammar, or spelling between Brazilian and Continental Portuguese. The only difference is in pronunciation: in Brazilian Portuguese, the unstressed final "e" is typically reduced to an /i/ sound, whereas in Continental Portuguese, it is pronounced as a closed, neutral vowel (often transcribed as /ɨ/).

Brazilian Portuguese examples:

1. Eu acredito nele. (I believe in him.)
2. Eu vi o erro nele. (I saw the error in it.)
3. Não tem nada de errado nele. (There is nothing wrong with him.)
4. O segredo tá nele. (The secret is in it.)
5. O detalhe tá nele. (The detail is in it.)

Portuguese examples:

1. Eu confio nele. (I trust him.)
2. O erro reside nele. (The error resides in it.)
3. Não há nada de errado nele. (There is nothing wrong with him.)
4. O segredo está nele. (The secret is in it.)
5. O detalhe encontra-se nele. (The detail is found in it.)