Hi Arnaud,
There is a way to make what you want to do.
First of all, you need to "connect" your debugger to target which you want to extract binary file.
Here is a post where steps to do it are explained (It depends if you have your application code or not):
Hot-Sync: Attach, Connect & Download | MCU on Eclipse
Once you are connected, you need to dump device's memory into a file that could be used to import it in the new target, there is also a good post in how to do this:
Dump my Device Memory | MCU on Eclipse
Importing this file (as explained in previous post) is done similar as exporting device's memory.
I hope this can help you.
Best Regards,
Isaac Avila