I have never
seen a modern PC without a serial port but if USB is
absolutely required there are USB to serial adapters.
I have 2 PCs and 4 Macs without serial ports.
But presumably they do have USB ports, and as was just said, you can get
USB (host) to RS232 (device) converters.
The reverse is not, however, true. I have around 200 computers here. Over
half of them have RS232 ports, many of the rest could have them fitted
(but I don't have the right expansion card yet, and haven't got round to
building something), or have ports that can trivially be converted to
RS232 (e.g. 20mA current loop serial). Not one of them has a USB port, or
AFAIK can take a USB port.
-tony