Yes, digital bank and payment accounts such as Airwallex, ANEXT and Aspire can be applied for online, so they are widely used by new companies that find it difficult to visit Singapore. Whether an account is opened depends on the review.
Some of these services are payment service providers rather than banks, so they may differ in nature from a traditional bank account. Check the supported currencies, cards and transfer limits against how you transact before choosing.
Lee Kim Alliance provides a corporate bank account opening support service.
