Theoretically you could. Hang Seng is a good bet. Don’t go with Standard chart, because that’s what I did, and they sat on it for 3 months.
Basically you can get the branch manager to witness your signings and they send it to HK for processing. But my attempt fell apart, because the RM in HK didn’t push it as I wasn’t buying her shitty wealth planning products with my money all in Singapore. Inertia, indifference, if you are persistent then yes, it’s been done before.