Can you? Sure, you can. Do you want to? Almost certainly not.
If you've got 10 years of professional experience, no one is spending more than a moment or two glancing at your education. Your professional experience is much more predictive of your skills than what degree you have. At that point, most people are looking at your education primarily to check a box with HR which, for example, may just want to see a college degree. That's not to say that someone without a degree can't be hired but life is much easier for the hiring manager if they want to hire a candidate with a degree.
If you leave off the education section entirely, people are liable to assume that you have literally no education-- no college, probably no high school diploma. That would reflect much more poorly on you than what you perceive as a mediocre degree. It also makes it much more likely that your resume gets weeded out by HR before a hiring manager sees it-- HR is good at doing things like screening for the presence of a degree if a company is innundated with resumes. Plus leaving it off will tend to emphasize your education-- the hiring manager is undoubtedly going to notice that it is missing and will most likely have to make sure to ask about it. That's going to mean that you spend a lot more time discussing your education than you'd prefer and that it will be much more in the hiring manager's mind than it would have been if there were a couple of somewhat unimpressive lines on a resume.
