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

Yes

The word "ocupada" is identical in spelling, meaning, and grammatical function in both Brazilian and Continental Portuguese. The differences between the two dialects are strictly phonological (pronunciation):

• Pronunciation (Brazil): In most Brazilian regions, the "d" is palatalized, meaning it sounds like the "j" in the English word "jump" (/dʒ/). Additionally, the final "a" is clearly articulated and open.
• Pronunciation (Portugal): In Portugal, the "d" is dental, pronounced with the tongue against the teeth (/d/), similar to the "d" in the English word "dog." Furthermore, unstressed vowels like the final "a" are often reduced or "swallowed," sounding much shorter or closer to a neutral schwa (/ɐ/).

Brazilian Portuguese Examples

1. Ela está muito ocupada com a faculdade. (She is very busy with college.)
2. Desculpe, não posso falar, estou ocupada. (Sorry, I can't talk, I'm busy.)
3. A vaga de estacionamento está ocupada. (The parking spot is occupied.)
4. A linha telefônica está ocupada agora. (The phone line is busy right now.)
5. Ela é uma mulher muito ocupada. (She is a very busy woman.)

European Portuguese Examples

1. Ela está muito ocupada com a universidade. (She is very busy with university.)
2. Desculpe, não posso falar, estou ocupada. (Sorry, I can't talk, I'm busy.)
3. O lugar de estacionamento está ocupado. (The parking spot is occupied.)
4. A linha telefónica está ocupada agora. (The phone line is busy right now.)
5. Ela é uma mulher muito ocupada. (She is a very busy woman.)