I would like to say " By seeing my punctuality you can see how desperate I am " I'm not sure if punctuality is the right word here ,If not any alternatives?
I'm so desperate I actually showed up on time!
Unless you have a context saying otherwise, people are generally expected to be on time to things like jobs and meetings, so if you don't normally show up on time, actually is needed to emphasize that you are doing something out of the ordinary.
Or this if you want to stay close to the form of your sentence:
By the fact that I'm actually on time, you can see how desperate I am.