Yes you can mount a computer monitor on the wall.
I have my computer monitors mounted on the wall in front of my desk and it makes the desk much cleaner and it brings the computer monitor up to an optimal height.
I also don't have to worry about it falling over or moving it around on my desk.
Just like the TV on my wall in my bedroom, living room etc it looks so much nicer and allows more room on the desk for other things such as pictures, flowers etc.
Your computer monitor should have some holes in the back to allow you to use a regular TV wall mount for your size of computer monitor.
I also have a 40 inch LED TV as a computer monitor on my wall in my home office.
The larger screen helps me see and work on things such as coding my websites etc much easier.
With the smaller monitor I could only have one or two screens open side by side to see a little but now I can have two larger pages open when coding and looking at the website and it looks so much better and easier to read.
I can also have 4 pages open as well when I need too.
Having multiple computers is also a must if you're coding and working on websites so you don't have just one computer tied down and it keeps you from accidentally closing out something before finishing the work.