short answer is no, at tjis moment.
The law is not yet effective in tsiwan, as @Brianjones answered.
The same sex marriage law passed the first reading of legislature yuan in 2016, and judicial yuan ruled the law should become effective by May in 2019. Though the referendam in 2018 opposed the same sex marriage law, the Government announced that the Constitutional Court ruling will still go into effect in May 2019, regardless of the referendum results.
Exective yuan published a draft for the law regarding to the same sex msrriage on Feb. 20 2019, and the bill is scheduled to be approved by the Cabinet on 21 February, then sent to the Legislature Yuan for passage, before taking effect by 24 May.