Before offices or open concept, an ability to work distraction free is necessary.
I had a dedicated office for about a decade starting at 18, and an open office for about half a decade since. Before that I've also worked out of my bedroom and basement for a few years.
Interruption and distraction are the enemy of productivity. Managing these two monsters is essential, whether it's the people in the room or what you let distract you on your screen.
I noticed noise canceling earphones did more for me than anything else. same goes for earplugs. Having a clear list of what to do is essential to get you started. Turning of all notifications including email and im was really helpful as no walls protect against that. I keep my phone on silent and no vibrate. think some of this stuff stands out once you've worked for a while and noticed the ultra productive times vs. not.
Very little is so important it can't wait. If it is, someone will interrupt you. Making this clearly known is important to anyone who might assault your space, and physically or electronically.
Finding your formula of how to become deeply focused and productive is important, but realize it may not be one formula for everyone. Some people benefit from being in the same room to keep them focused (this is especially true when younger), and and others do better in a cave like an office. Whatever it is, understand it's about going to that inner cave in a way and managing the distractions and interruptions.