Not in American English. We'd be confused if you asked that, because a Surname is a TYPE of name. We'd say "given name" or "first name" for the first item, and "surname" or "family name" for the second item. If the word "name" is by itself, depending on context, people either give their full name or just their first name.
Is "Nome or sobrenome?" the BP equivalent of "first or last name?" in English? The current translation "name or last name" offered by Duo Lingo doesn't work in English. We say "first name or last name" or "first or last name". You can't say "name or last name". This doesn't make sense.
"Nome" doesn't mean only first name, although that's the main sense it has in everyday use. As I said above, in legal context, "nome" means full name, and you have "prenome" for first name and "sobrenome" for family name. People here tend to use "nome completo" to avoid confusion, specially filling in forms. It is very uncommom to see different fields for first name and family name in forms though.
Thanks. Like other people discussing this example, I was trying to make sense of it as something that someone might actually say (something that's not always possible with the examples in Duolingo). Does "nome" just mean "first name" or the equivalent in Portuguese then? What's the Portuguese for "Full Name", like you'd fill in when requested at a hotel reception?
In the context of law, "nome" means full name and "sobrenome" means surname. There is a word for first name = "prenome". For all the rest, "nome" can be first name or full name. To avoid ambiguity is very common to say "nome completo" or "nome e sobrenome" meaning full name. In paper forms usually you'll find two fields (nome for first name and sobrenome for surname). Another cultural note: in a list of names (like a phone list) they are listed by the first name and not by the family name.
If you are talking to someone and he asks your "nome" the answer should be your first name only, not the last name or the full name. But if you have to write it down and it asks for your "nome" you should write your full name, unless it asks separetedly for "nome" and "sobrenome". Another form to ask for the full name is "nome e sobrenome".
And to add some cultural info, brazilians usualy have two or more surnames, one from father's family and other from mother's. Hope that helps, and sorry for my poor english.