I have recently bought myself a camera, a Canon PowerShot SX530, and I noticed that the focus on this camera is difficult to adjust and clarify. I am looking to buy a low priced manual focus lens, I saw a BRIGHTIN STAR 35mm F1.7 Ultra Wide Manual Focus Lens on Amazon. My question is 1) if this focus lens is of good quality and 2) if this lens is compatible with my current camera. I am new to photography and don't have a lot of knowledge about the rules and regulations. Thank you for anyone who answers this question for me.
That lens is listed as compatible with Canon EOS-M cameras, which are interchangable lens cameras. The PowerShot line of cameras does not have an interchangable lens. So, no, it's not compatible with your SX530.
I can't speak to the quality of the lens, but the lack of any reviews on Amazon says something... As does the fact that a simple Google search for "Brightin Star" shows ... nothing.
Your camera (PowerShot SX###) cannot use other lenses, unless you consider screw-on converter lenses. I expect most here would not consider such "lenses" to be "real" lenses. Conversion lenses would also exacerbate whatever problems you're having with your current lens.
If you're still within the return window, consider returning the PowerShot so you can get a mirrorless camera instead. Previous-generation models can be very inexpensive and should still perform better than the PowerShot.
Why not a DSLR? It's difficult to adapt arbitrary lenses to DSLRs. If you want to be able to use most manual-focus lenses you encounter, you pretty much need a mirrorless camera.
The Brightin Star lens looks like a rebranded Neewer lens. If so... Ignore all the glowing reviews of various Chinese-made lenses. I don't know, and don't want, whatever those reviewers are smoking. Those lenses' contrast is poor; they're difficult to focus, and they suffer from horrible veiling glare.
You're likely to get a much better lens at a lower cost by searching for an old 35mm f/2.8 on auction. Even a no-name, generic brand would do. – But you need to get a mirrorless camera first.
Here's an image taken with a Kamero (Mitake) 35mm f/2.8 @ F8 (on a FujiFilm X-T20, Provia, unedited JPEG). The cheesy brand name just screams low quality, but the lens itself is nothing to scoff at. It's sharp with nice colors and contrast, and it's resistant to veiling glare.
The Canon PowerShot SX530 is not an interchangeable lens camera. You cannot buy other lenses for it.
While I have no experience with the Brightin Star lens you ask about, I do not expect it to be a great one.