Well you can legally… however the banks in Taiwan love their xenophobic discrimination of all foreigners. And will refuse!!!
Even those who become Taiwanese! Enjoy that when you arrive here @Sandler
See the thread about Koko bank! Koko Bank’s xenophobic reasoning for denying "foreigners" the ability to open an account online - #261 by Mataiou
Oh and when you do set it up! They will give you a special foreign investor number and you will be restricted from things such as short selling and leverage! (Even with an aprc) because you’re a foreign devil who may crash the market if they allow more!