This is more of a question of the limitations/requirements of SSIS and dtexec.
In the Oracle DB world, SQL*Plus and SQL*Loader and similar utilities can be invoked on the DB server or on any other device that has the correct Oracle client and utility software installed.
My quick survey on the 'net is contradictory - some say that dtexec command line can be invoked directly, others disagree. You need to pursue this yourself and try out the suggested options. Additionally,
SSIS exposes a web service interface --- perhaps that is more suitable for your use. NOTE: You can invoke most WS interfaces from the Automic WS Agent, or write the code to invoke the WS yourself.
Patrick Higgins