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

Yes

The word "feita" is identical in meaning, grammar, and spelling in both Brazilian and Continental Portuguese. The only difference is in pronunciation. In Brazilian Portuguese, the vowels tend to be more open and the rhythm of speech is more syllable-timed. In Continental Portuguese, unstressed vowels are often reduced or "swallowed," and the pronunciation of consonants is typically sharper and more dental.

Brazilian Portuguese Examples:

1. A lição de casa já está feita. (The homework is already done.)
2. Ela é uma mulher muito bem feita. (She is a very well-built woman.)
3. A comida está feita, pode vir comer. (The food is ready/done, you can come eat.)
4. A decisão foi feita de última hora. (The decision was made at the last minute.)
5. A cama está toda feita. (The bed is all made.)

Portuguese (Continental) Examples:

1. A lição de casa já está feita. (The homework is already done.)
2. Ela é uma mulher muito bem feita. (She is a very well-built woman.)
3. A comida está pronta, podes vir comer. (The food is ready, you can come eat.)
4. A decisão foi tomada à última hora. (The decision was made at the last minute.)
5. A cama está toda feita. (The bed is all made.)