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

Yes

The only difference between "europeia" in Brazilian Portuguese and Continental Portuguese is pronunciation.

• Brazilian Portuguese: The vowels are more open and clearly articulated. The unstressed syllables are pronounced distinctly, so you can clearly hear the "e" and the "i" (eu-ro-PE-i-a).
• Continental Portuguese: There is a strong tendency to reduce or "swallow" unstressed vowels. The unstressed "e" is often very closed or almost silent, making the word sound much more compressed (eu-ro-P'ia).

Brazilian Portuguese Examples

1. Ela é uma cidadã europeia. (She is a European citizen.)
2. A cultura europeia influenciou muito o Brasil. (European culture has greatly influenced Brazil.)
3. Essa marca europeia é muito popular por aqui. (This European brand is very popular around here.)
4. Ela tem uma beleza europeia. (She has a European beauty.)
5. As leis europeias são bem rígidas. (European laws are very strict.)

Continental Portuguese Examples

1. Ela é uma cidadã europeia. (She is a European citizen.)
2. A cultura europeia é parte da nossa identidade. (European culture is part of our identity.)
3. Esta marca europeia é muito conhecida por cá. (This European brand is very well known around here.)
4. Ela possui uma ascendência europeia. (She possesses European ancestry.)
5. As normas europeias devem ser respeitadas. (European norms must be respected.)