No, the Palm software does not provide this functionality; nor does Windows.
The only way to make it work would be to sync the same device on one
computer and then the other and finally back to the first, that would
migrate the data between them.
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> I use a Palm Pilot with an XP Pro PC and would like to place the app on
> my new Vista machine. Is there a way to synchronize my data on both
> machines (when I enter data on one machine, it's automatically updated
> on the other machine)? Both PC's are networked.