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

No.

While the spelling and the fundamental definition of the word are identical, there are differences in typical usage and pronunciation.

Usage: In Brazil, "polícia" typically refers to the institution (the police force), whereas the word "policial" is the standard term used to refer to an individual officer. In Portugal, "polícia" is frequently used to refer to both the institution and the individual officer.

Pronunciation: Brazilian Portuguese features more open, clear vowels. In Continental Portuguese, there is significant vowel reduction, meaning the unstresssed vowels (such as the "i" in "polícia") are much shorter, more closed, or nearly swallowed.

Brazilian Portuguese Examples:

1. A polícia chegou muito rápido. (The police arrived very quickly.)
2. Chame a polícia agora! (Call the police now!)
3. O policial me parou na rua. (The police officer stopped me on the street.)
4. A polícia militar está na avenida. (The military police are on the avenue.)
5. A polícia civil está investigando o crime. (The civil police are investigating the crime.)

Portuguese Examples:

1. A polícia chegou depressa. (The police arrived quickly.)
2. Liga para a polícia! (Call the police!)
3. O polícia parou o meu carro. (The police officer stopped my car.)
4. A PSP está a patrulhar a cidade. (The PSP is patrolling the city.)
5. Um agente da polícia passou por aqui. (A police officer passed by here.)