Bank Frick says on website the below so best to contact them and make your case.
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We provide services to legal entities and natural persons residing or registered in the European Economic Area (EEA) (consisting of the EU, Liechtenstein, Iceland and Norway), Switzerland, the United Kingdom, Hong Kong or Singapore.
Individuals and businesses domiciled in any other country can become clients in very exceptional cases. A prerequisite for this is that a business relationship must offer additional benefits to both the individual and the Bank.
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Looks possible due to that but best to ask as account opening︁ requirements are a moving target everywhere.
P.S I did not notice they have opened representative︂ offices across Asia and middle east. Looks to me that they looking at growth markets︃ 😉.