Yep, search for "direct lab testing" and you'll find some vendors, and possibly some local clinics.
But the thing with ordering your own tests is that it is not the only way to get these results. You can simply ask a doctor. They'll order it and help you understand the results and insurance can cover it. Depending on your insurance, that might be cheaper or it might not. There are pros and cons to both approaches mostly centered around how self-driven you want your care to be and whether or not you have a cooperative doctor.
But I would add a general word of warning - raw lab results do need some broader understanding of what the expected results are. They'll typically tell you what numbers are too low/high, but will not tell you what it means if you are outside those limits. For some things, being a slight bit out of the norms is a big deal. For others, unless you are at a few multiples beyond the limits, there is northing to fret over. Knowing which is which is critical to know how to react to test results.
I'm not saying you've gotta work with doctors - I'm saying that they do have a point that self-educated and self-diagnosed patients who learn the info off the internet are not always well-informed. If you are going to go the self-directed route for your health care, take the time to learn deeply and do it well.