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

No.

While the spelling, grammar, and core meaning of "visita" are identical in both dialects, there are differences in typical usage and pronunciation.

In Brazil, the word is commonly paired with the verb dar (e.g., dar uma visita) and the preposition em (e.g., na casa). In Portugal, the standard usage involves the verb fazer (e.g., fazer uma visita) and the preposition a (e.g., à casa). Additionally, pronunciation differs: Brazilian Portuguese tends to have more open, rhythmic vowels, whereas Continental Portuguese features significant vowel reduction, often "swallowing" the unstressed syllables.

Brazilian Portuguese Examples

1. Vou dar uma visita na sua casa amanhã. (I'm going to drop by your house tomorrow.)
2. A visita de ontem foi muito legal. (Yesterday's visit was very cool.)
3. Ele veio me dar uma visita hoje. (He came to visit me today.)
4. A gente vai dar uma visita no museu. (We are going to visit the museum.)
5. Recebi uma visita inesperada agora. (I received an unexpected visitor just now.)

Continental Portuguese Examples

1. Vou fazer uma visita à sua casa amanhã. (I am going to pay you a visit tomorrow.)
2. A visita de ontem foi muito agradável. (Yesterday's visit was very pleasant.)
3. Ele veio fazer-me uma visita hoje. (He came to visit me today.)
4. Nós vamos fazer uma visita ao museu. (We are going to pay a visit to the museum.)
5. Recebi uma visita inesperada agora. (I received an unexpected visitor just now.)