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

Yes

The spelling, meaning, and grammatical usage of "handebol" are identical in both Brazilian and Continental Portuguese. The only difference is the pronunciation of the final "l". In Brazilian Portuguese, the "l" is typically vocalized, sounding like a "u" (/handebow/). In Continental Portuguese, the "l" is a distinct, velarized lateral consonant (/handebol/).

Brazilian Portuguese Examples

1. Eu jogo handebol todos os sábados. (I play handball every Saturday.)
2. O time de handebol ganhou o campeonato. (The handball team won the championship.)
3. Ela é muito boa no handebol. (She is very good at handball.)
4. Nós vamos assistir ao jogo de handebol hoje. (We are going to watch the handball game today.)
5. Você quer praticar handebol comigo? (Do you want to practice handball with me?)

Continental Portuguese Examples

1. Eu jogo handebol todos os sábados. (I play handball every Saturday.)
2. A equipa de handebol ganhou o campeonato. (The handball team won the championship.)
3. Ela é muito boa no handebol. (She is very good at handball.)
4. Nós vamos ver o jogo de handebol hoje. (We are going to watch the handball game today.)
5. Queres praticar handebol comigo? (Do you want to practice handball with me?)