Yes both has the same meaning Hasta mañana is other polite way to say "adios" but generally the complete phrase is "Adios, hasta mañana 😊" Nos vemos mañana is another way to say adios too and again "Adios, nos vemos mañana 😊" En México es muy común usar ambas frases, keep practicing 😊

Si ,las dos significan lo mismo que vas a ver a esa persona mañana , solo es una forma diferente de decirlo

Yeah, they both mean the same. Literally, "until tomorrow" (or something like that) and "we see each other tomorrow". But yeah, we use both with that same meaning.