No, EG doesn't use the same submit/recall model as the SAS windowing environment. It doesn't clear the window when you submit, and it doesn't have a "recall" feature to retrieve previously submitted lines.
You can use the Project Log to keep a history of all of the log results for each iteration of your program.
You can also select NOT to "Replace results" when you re-run a program, and then EG will make a copy of the program to "preserve" your previous version and log in the process flow. That's a bit awkward though, so I don't recommend it.
Chris