Would the CompTIA trifecta, Computer Science degree, and 2 years of Technical Support experience be enough for a system administrator position?

As the title says, I graduated with a computer science degree, but I discovered that I enjoy IT way more than computer science. So I decided to take the IT path.

However, I am kind of bummed that I have to start from the bottom in order to get a high paying job in IT

I was just wondering if my credentials would be enough for a sysadmin position?