sure, simple really..   two approaches.

if the servers know about each other (are friends), you can share the process config on Process A across servers as well.  No copying required.

otherwise, in eclipse, in the Team Artifacts view, right click on the Project whose process config you want to copy,
select Extract Process Template.  You will need to provide a process template ID. This is the string you see when you select the process ID, Scrum for example. you cannot have two with the same name/ID string. 

then in the Process Template view,  right click on the process Template you just created and select  Export.

this will place the template and any additional artifacts in a zip file..

access the other server in eclipse, use the Process Templates  view and select Import process template,
point to that zip file, make sure the names/ID are unique on that server...  voila..

to make this imported template the new 'Scrum' template for example, open the Scrum process template,
and change its ID string. save. Open the new Process template, change its ID to Scrum, save..
done.