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

No.

While the grammatical function, spelling, and core meaning of "foi" (the third-person singular preterite indicative of the verbs ser and ir) are identical in both dialects, there are differences in pronunciation and typical usage.

• Pronunciation: Brazilian Portuguese generally features more open vowels and a more syllable-timed rhythm. In contrast, Continental Portuguese features more "closed" or reduced vowels and a more stress-timed rhythm.
• Typical Usage: In Brazil, "foi" is used in specific idiomatic expressions, such as the slang "Foi mal" (My bad). This expression is not used in Portugal. Additionally, Brazilians frequently use the simple past ("foi") to describe recent or ongoing actions, whereas a Portuguese person might prefer the compound past (tenho ido) for the same context.

Brazilian Portuguese Examples

1. Ele foi ao mercado. (He went to the market.)
2. A festa foi muito legal. (The party was very cool.)
3. Foi mal, eu esqueci. (My bad, I forgot.)
4. O jogo foi ontem. (The game was yesterday.)
5. Ela foi viajar para o Rio. (She went to travel to Rio.)

Portuguese (Portugal) Examples

1. Ele foi ao supermercado. (He went to the supermarket.)
2. A festa foi muito fixe. (The party was very cool.)
3. Desculpa, eu esqueci-me. (Sorry, I forgot.)
4. O jogo foi ontem. (The game was yesterday.)
5. Ela foi viajar para o Rio. (She went to travel to Rio.)