Yes, you can do that. However, some commercial programs know they have been moved to a different machine and will require that you re-enter the license key. It may be better to try cloning one machine to the other.
Just connect them by Firewire cable. Boot the computer you want to copy TO into Target Disk Mode. Boot the one you will copy FROM normally. The computer in TDM will show up on the Desktop as just another hard drive.
Now use Disk Utility to clone them:
Clone using Restore Option of Disk Utility
1. Open Disk Utility in the Utilities folder.
2. Select the destination volume from the left side list.
3. Click on the Restore tab in the DU main window.
4. Select the destination volume from the left side list and drag
it to the Destination entry field.
5. Select the source volume from the left side list and drag it to
the Source entry field.
6. Double-check you got it right, then click on the Restore button.
Destination means the TO computer. Source means the FROM computer.
There is another potential option here. A little time-consuming but it does work. On your iMac, download a fee app called 'AppCleaner' (available on Google search). What AppCleaner is normally used for is when you have lost uninstallers for any app and you want to make sure everything to do with an application is fully removed. But it can also be of help in another way:
Open AppCleaner. Drop your Final Cut App onto it (don't worry we are not going to delete it - back it up if nervous but honestly its fine). You will see something like the image below/attached here. What will be displayed now is a list of all files and folders that exist on your iMac and their locations on your iMac. Using this 'map' so to speak, you can navigate carefully to each location the files exist and copy all the files/ folders into a new folder. Get these files onto your MacBook Pro and carefully drop them into the correct root location again. This creates a mirror image of the installed FCP from one machine to the next.
Give it a bash, be careful not to accidentally reomove files while copying them into the folder to bring accross to your MacBook Pro and you should be in business.