Yes — the same document list covers accounts in national and in foreign currency.
Opening the account is the easy half. The harder question is whether the bank you chose wants your currency: about a third of the banking system’s assets are held in foreign currency and that share has been falling for years, so appetite varies considerably between institutions. Ask before you open, not after.
Note the asymmetry between the two ways of adding an account. At the bank that already serves you, one application does it. At any other bank you are a new client and the whole list starts again — which is another reason the choice of the first bank carries more weight than it looks like it does. (Bank Accounts Instruction, Paras. 19–20 — lex.uz ↗)
Answer a few questions and the full cost — one-off and monthly — is on the screen in minutes.
Part of the answer bank — 195 questions, each cited to the article it rests on.