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

No.

While the word "mando" (the first-person singular present indicative of the verb mandar) is identical in spelling and core meaning, there is a difference in typical usage and grammatical patterns. In Brazil, "mando" is the standard, everyday way to express "I send" in casual contexts (such as sending a message, a file, or an object). In Portugal, while "mando" is used, the verb enviar (and thus the form "envio") is much more frequent and preferred for digital or formal contexts. Additionally, when using "mando" to mean "to order," Brazilians typically use the construction mandar + [object] + [infinitive], whereas Portuguese speakers more naturally use the subjunctive mood.

Brazilian Portuguese Usage

1. Eu mando uma mensagem para você agora. (I will send you a message now.)
2. Eu mando o arquivo por e-mail. (I will send the file by email.)
3. Eu mando você sair daqui. (I am telling/ordering you to leave here.)
4. Eu mando a foto no WhatsApp. (I will send the photo on WhatsApp.) $\text{5.}$ Eu mando o entregador aí amanhã. (I will send the delivery person there tomorrow.)

Continental Portuguese Usage

1. Eu envio uma mensagem para ti agora. (I will send a message to you now.)
2. Eu envio o ficheiro por e-mail. (I will send the file by email.)
3. Eu mando que saias daqui. (I order you to leave here.)
4. Eu envio a foto pelo WhatsApp. (I will send the photo via WhatsApp.)
5. Eu envio o estafeta aí amanhã. (I will send the courier there tomorrow.)