SSIS is a client-side process, so if it runs on a server other than the machine on which the DBMS is running, traffic will go through the network. Your question is not very clearly formulated, but I think you want to know if moving the database will affect performance, given that the SSIS package is already running on a separate machine.
If the SSIS job is already running on the application server, which is a physically separate machine on the database server, then moving one of the databases will probably not affect performance if it does not have a significantly slower network connection than the other.
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