Not yet, no. Doesn't mean they won't eventually.
If not tell them either had the china virus and now have immunity or you had the shots.
Getting caught lying to your employer is usually a rapid road to unemployment.
Yup—you should never blatantly lie to your employer—way too risky...doubly so in this age of on-line snooping.
The “lie by omission” is when you quietly seek employment elsewhere.
If they catch you doing _that_, particularly if you have been discreet and professional about it, the discovery will raise your stock in their eyes.
Maybe you should take the antibody test to see if you did have the virus.
I sure wouldn’t want you to get fired but are they even allowed to ask for proof of an innoculation.