Can I be hired at a good company by just grinding DSA?

Take a look at Formation.dev, I dont want to market it so look on your own. We work with a very small number of people with no bootcamp or prior experience but they fall into the bucket you describe. We are also backlogged right now so you might not even be able to get in... but it's worth taking a look and considering the full spectrum of your options. Another thing you can try is applying to top tier apprenticeships, like Dropbox Ignite and Asana Up and LinkedIn Reach. They have high DSA bars and might be a path to accelerate.