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

No.

While the fundamental meaning of "de" (denoting origin, possession, or material) is identical in both dialects, the answer is No because there are significant differences in typical usage and pronunciation. In Brazil, "de" is a vital component of many colloquial idioms (such as "de boa") and certain prepositional constructions that are less common or structured differently in Portugal. Additionally, the pronunciation differs: in Brazilian Portuguese, the unstressed "e" is often heavily reduced or transformed into a "dʒi" sound, whereas in Continental Portuguese, it is more clearly articulated as a reduced vowel.

Brazilian Portuguese Examples:

1. Eu vou de ônibus para o trabalho. (I go by bus to work.)
2. Ele é de Minas Gerais. (He is from Minas Gerais.)
3. Ele é um cara de boa. (He is a chill guy.)
4. O suco de laranja está gelado. (The orange juice is cold.)
5. Eu gosto de falar de política. (I like to talk about politics.)

Continental Portuguese Examples:

1. Eu vou de autocarro para o trabalho. (I go by bus to work.)
2. Ele é de Lisboa. (He is from Lisbon.)
3. Ele é um rapaz tranquilo. (He is a calm boy.)
4. O sumo de laranja está frio. (The orange juice is cold.)
5. Eu gosto de falar sobre política. (I like to talk about politics.)