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

Yes

The word "mochileira" is identical in meaning, spelling, and grammar in both Brazilian and Continental Portuguese. The only difference lies in pronunciation.

In Brazilian Portuguese, the vowels are typically more "open" and clearly articulated, making the syllables "mo-chi-lei-ra" easy to distinguish. In Continental Portuguese, there is a strong tendency toward vowel reduction, where unstressed vowels are shortened or almost silenced. Consequently, a Portuguese person would likely pronounce it more like "mosh-leira," with a much more compressed sound.

Brazilian Portuguese Examples

1. Ela é uma mochileira muito legal. (She is a very cool backpacker.)
2. Eu quero viajar como mochileira pelo mundo todo. (I want to travel as a backpacker around the whole world.)
3. Ser mochileira é o meu sonho de infância. (Being a backpacker is my childhood dream.)
4. Aquela mochileira está com uma mochila bem pesada. (That backpacker is carrying a very heavy backpack.)
5. A gente viu uma mochileira no hostel. (We saw a backpacker at the hostel.)

Continental Portuguese Examples

1. Ela é uma mochileira muito fixe. (She is a very cool backpacker.)
2. Eu quero viajar como mochileira pelo mundo inteiro. (I want to travel as a backpacker around the whole world.)
3. Ser mochileira é o meu sonho de infância. (Being a backpacker is my childhood dream.)
4. Aquela mochileira está com uma mochila bastante pesada. (That backpacker is carrying a quite heavy backpack.)
5. Nós vimos uma mochileira no hostel. (We saw a backpacker at the hostel.)