It's very much a classist country where you position in society is determined by your immigration status. Everything there is tiered based on whether you are a "citizen" (first class), permanent resident (second class), and you are in a permanent out group if you are not in the above two classes. And if you are a foreigner, whether you are a white "expat" or a Dubai -style indenture servant migrant worker. Valley tech bros are obsessed with that country but all that glitters is not gold.
There's a FAQ specifically addressing this [1]:
> If you do not have Singpass, you may still approach our pool or gym staff to buy single-entry passes.
[1] https://ask.gov.sg/activesg/questions/clztixkjr00agracq0ys53...