No, this can't be done. The subject has come up in several threads before.
The only things you can do are:
i) Designate one of the PCs as the "Master" and all the others as "Slave"
ii) Let the "Slaves" download but always leave a copy of the messages on the server. Only the "Master" can download and remove from the server.
iii) Make sure that all the emails sent from each PC is always forwarded to the others.
The real answer is to be on a domain where each PC accesses a central message store.