Sure. Or USBP could just be waiting for you as your flight lands in the US and then immediately detain you. You have no rights in a US airport.
I have not ever heard of that happening, but if I did hear about it happening to normal people (i.e. people without a criminal warrant) I would probably stop going to the US.
nit: USBP (US Border Patrol) is not at the ports of entry. Border Patrol is for the land border _between_ ports of entry. CBP (customs and border protection) is the organization that does immigration control at the ports of entry.
I have not ever heard of that happening, but if I did hear about it happening to normal people (i.e. people without a criminal warrant) I would probably stop going to the US.