While I agree with everyone 100% that a qualified tech is the only one who can properly "tune and align" a radio, I am all for people learning to do stuff themselves.
I believe it's in the best interest of everyone who gets involved in the hobby to learn how to tune and work on their own radios. This has always been one of the ideals of ham radio and I think with CB radio it's no different.
Knowing your equipment intimately and working on it allows you to troubleshoot problems and tune your station so that it is working its best.
Now - it's easy to ruin a radio by doing the wrong things, but that's why I don't suggest people start off the learning curve by doing difficult soldering.
99% of people want to adjust the modulation pot in their radio and although in 99% of cases they'll just turn it to max so they can be as loud as possible I still appreciate that they are doing the adjustment themselves and that's why I always try to provide that info.
Eventually they'll learn that overmodulated and distorted isn't the way to live your life, and if they don't - there was no hope to begin with
Secondly - I've seen shops all across this country charge people money to do work that is not "proper" and are things that most people could do themselves. I can distinctly remember a local shop that used to charge $20 to max out your modulation. $20 to open the radio and turn the pot to max.
I believe people learning to do this stuff themselves helps them learn how to avoid being ripped off, and to recognize when a radio has been hacked up. These bad shops give the good shops a bad name. If you know what you are asking your tech to do, then he can do a better job for you and you'll also feel more comfortable knowing that he's doing a good job.
There have been 20-30 SSB radios I've picked up over the years that were slightly off frequency and with a plastic tuning tool and 5 mins of time I was able to put them back on....and I'm no genius by any means.
So my answer is "yes" a beginner can tune their own radio, they need the proper non-metal tools and a little info, but as long as you aren't trying to swap out a final there are plenty of small modifications and adjustments you can make.
In the end the radio may not be as perfect as one done up by a professional tech, but no one can match the satisfaction of doing something yourself. As mentioned above - it's always best to learn on the $20 radio rather than the $100 radio.
When you decide to spend $400 on a new 2970DX NS2 or a Galaxy 95T, then have it tuned by a professional tech such as Sparky's.