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

Yes

The meaning, grammar, and spelling of "enquanto" are identical in both Brazilian and Continental Portuguese. The only difference is in pronunciation. In Brazilian Portuguese, the vowels are more open and the syllables are clearly articulated. In Continental Portuguese, unstressed vowels are often reduced or nearly silent, which makes the word sound more "clipped" or swallowed compared to the Brazilian pronunciation.

Brazilian Portuguese Examples

1. Eu estudo enquanto ouço música. (I study while listening to music.)
2. Ela trabalha enquanto o marido cuida da casa. (She works while her husband takes care of the house.)
3. Enquanto você estiver aqui, estarei feliz. (As long as you are here, I will be happy.)
4. Eu gosto de chocolate, enquanto meu irmão prefere baunilha. (I like chocolate, whereas my brother prefers vanilla.)
5. O café está esfriando enquanto a gente conversa. (The coffee is getting cold while we talk.)

Continental Portuguese Examples

1. Eu estudo enquanto ouço música. (I study while listening to music.)
2. Ela trabalha enquanto o marido trata da casa. (She works while her husband takes care of the house.)
3. Enquanto tu estiveres aqui, estarei contente. (As long as you are here, I will be happy.)
4. Eu gosto de chocolate, enquanto o meu irmão prefere baunilha. (I like chocolate, whereas my brother prefers vanilla.)
5. O café está a arrefecer enquanto nós conversamos. (The coffee is getting cold while we talk.)