Are you kidding? This can be solved. All you have to do is edit the packages to use the source and destination as your oracle databases. The rest remains the same. It also depends on how the data is processed internally in packages.
If your packages are using any transformations in Data Flow and if the data flow is using any sql commands then you need to think of that too. Also, if your control flow is using any SQL task then also you need to think of that.
You can edit a single package and try converting it to Oracle. SSIS can treat Oracle data as well, this is not a limitation of SSIS.