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

No.

While the spelling, grammar, and literal meaning of "frita" are identical in both dialects, there is a difference in typical usage. In Brazilian Portuguese, the verb fritar (and its conjugation frita) is frequently used in informal slang to describe mental exhaustion ("fritar o cérebro" — to overthink or fry one's brain) or the state of being under the influence of drugs. In Continental Portuguese, the word is used almost exclusively in its literal, culinary sense.

Brazilian Portuguese

1. Eu adoro batata frita. (I love french fries.)
2. Ela frita o ovo todo dia. (She fries the egg every day.)
3. Não frita minha cabeça com isso! (Don't stress my head with that!)
4. Essa comida frita é muito gordurosa. (This fried food is very greasy.)
5. A batata frita é deliciosa. (The french fries are delicious.)

Continental Portuguese

1. Eu gosto de batata frita. (I like french fries.)
2. Ela frita o ovo todos os dias. (She fries the egg every day.)
3. Não me dês dores de cabeça com isso! (Don't give me headaches with that!)
4. Esta comida frita é muito gordurosa. (This fried food is very greasy.)
5. A batata frita é deliciosa. (The french fries are delicious.)