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

Yes

The word "moto" is identical in meaning, spelling, and grammatical gender (feminine) in both Brazilian and Continental Portuguese. The only difference lies in pronunciation—specifically the phonetic realization of the unstressed final "o" and the rhythmic prosody of the word within a sentence. In both varieties, the final "o" is typically reduced to a /u/ sound, but the way it is articulated in relation to the preceding consonant and the overall cadence of the sentence differs due to the distinct phonetic patterns of the two dialects.

Brazilian Portuguese examples:

1. Eu comprei uma moto nova. (I bought a new motorcycle.)
2. Ele anda de moto todo dia. (He rides a motorcycle every day.)
3. A moto dele é muito rápida. (His motorcycle is very fast.)
4. Eu gosto de andar de moto no fim de semana. (I like to ride a motorcycle on the weekend.)
5. O motoboy chegou com a encomenda na moto. (The delivery rider arrived with the order on the motorcycle.)

Continental Portuguese examples:

1. Eu comprei uma moto nova. (I bought a new motorcycle.)
2. Ele vai para o trabalho de moto. (He goes to work by motorcycle.)
3. A moto dele é muito rápida. (His motorcycle is very fast.)
4. Eu gosto de andar de moto ao fim de semana. (I like to ride a motorcycle on the weekend.)
5. Tenho de mudar o óleo da minha moto. (I have to change the oil in my motorcycle.)