[Not a lawyer, but a former H1-B and Green Card holder]
1) Under current law, that seems unlikely. The hurdles are mostly to get the first H1-B, renewal is practically automatic.
2) If Trump gets re-elected… well, you may have noticed that he, and some of his closest advisors on immigration, e.g. Stephen Miller, consider capriciousness in immigration policy setting a feature, rather than a bug, so who knows?
3) On the other hand, the US has a somewhat functional legal system, and legal immigrants, once admitted, enjoy the presumption to certain rights, so any action is likely to be tied up in legal proceedings for several years.
4) And let's see what happens today.