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

Yes.

The word vinho is identical in meaning, spelling, and grammatical gender in both Brazilian and Continental Portuguese. The only difference lies in pronunciation. In Brazilian Portuguese, the vowels are typically more open and the rhythm is "syllable-timed," meaning each syllable receives relatively equal weight, creating a more melodic sound. In Continental Portuguese, the vowels—especially those in unstressed syllables—are much more closed or even reduced (almost swallowed), and the rhythm is "stress-timed," which gives the language a more staccato or "hushed" quality.

Brazilian Portuguese Examples

1. Eu amo vinho tinto. (I love red wine.)
2. Você quer tomar um vinho comigo? (Do you want to have some wine with me?)
3. Esse vinho está uma delícia. (This wine is delicious.)
4. Vamos pedir uma garrafa de vinho? (Shall we order a bottle of wine?)
5. Eu comprei vinho para a festa. (I bought wine for the party.)

Continental Portuguese Examples

1. Gosto de vinho tinto. (I like red wine.)
2. Queres beber um copo de vinho? (Do you want to drink a glass of wine?)
3. Este vinho é fantástico. (This wine is fantastic.)
4. Vamos beber um cálice de vinho? (Shall we drink a glass/goblet of wine?)
5. Compras vinho para o jantar? (Are you buying wine for dinner?)