Can you extract a program from the EV3 brick to the computer?
Update:

There is a tool at http://ev3treevis.azurewebsites.net/ that can be use to create a new .ev3 file from a .rbf file recovered from an EV3 brick. Some information will be lost, but at least simple programs should be able to be recovered.

Original answer:

You can extract the compiled program from the EV3. Compiled programs have a .rbf file extension. However, these files only contain EV3 VM bytecodes and cannot be converted back to the EV3-G project file format (.ev3p file extension).

Details about extracting the program from the brick and what you can do with it has already been answered here.