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

Yes

The word "foram" is identical in meaning, grammar, and spelling in both Brazilian and Continental Portuguese. It is the third-person plural form of the verbs ser (to be) and ir (to go) in the pretérito perfeito (simple past). The only differences lie in pronunciation. In Brazilian Portuguese, the unstressed vowels tend to be more open and clearly articulated. In Continental Portuguese, speakers frequently employ vowel reduction, meaning the unstressed vowels may sound much more closed, neutralized, or even nearly disappear.

Brazilian Portuguese Examples

1. Eles foram ao shopping. (They went to the mall.)
2. As fotos foram tiradas ontem. (The photos were taken yesterday.)
3. Eles foram muito legais na festa. (They were very cool at the party.)
4. Meus amigos foram para o ponto de ônibus. (My friends went to the bus stop.)
5. As aulas foram canceladas. (Classes were cancelled.)

Continental Portuguese Examples

1. Eles foram ao centro comercial. (They went to the shopping center.)
2. As fotografias foram tiradas ontem. (The photographs were taken yesterday.)
3. Eles foram muito fixes na festa. (They were very cool at the party.)
4. Os meus amigos foram para a paragem de autocarro. (My friends went to the bus stop.)
5. As aulas foram canceladas. (Classes were cancelled.)