Hi Peter,
Thanks for contacting us and our apologies for the delay.
We have a feature request logged to support the import of images supplied through iCal feeds, but it is not currently something we support with Event Aggregator.
On the other hand, our recent 4.5 release introduced support for full imports from one The Events Calendar installation to another. Using that mechanism is much better if you are working between different sites that all run the latest versions of our plugins as richer, more complete import/export functionality becomes available.
I hope that helps!