SSIS is a process on the client side, so if it runs on a server other than the machine running the DBMS the traffic will go over the network. Your query isn't very specific, but I guess you want to know whether moving a DB would affect performance because the SSIS program already runs on a separate computer.
If the SSIS job already runs on an application server which is a physically separate computer to the DB server so transferring one of the databases would probably have no effect on performance unless it has a significantly slower network connection than the other.
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