Merging two systems?
Generally speaking the Apple Migration Assistant will (optionally) transfer applications as well as documents. How well that works with any individual application will be up to the application vendor. And that info may be on their web site.

So it is theoretically possible to transfer settings, documents and applications from one Mac to another (ethernet, Firewire, Thunderbolt, etc...) though I don't believe you can choose exactly which Apps, Docs, Pics, etc. get transferred. So you may have to transfer everything and then delete the stuff you don't want/need.

Just run the Apple Migration Assistant on the two computers that you have connected together and follow the prompts, it's real easy...