This is hard to say with much precision, because it depends so much on the hiring partner, and even the individual hiring manager.
In general, software companies focus on your skills (to the extent they can evaluate them in an interview) and not so much on credentials.
At some bigger, traditional automotive companies, there may indeed be an HR requirement that a new hire “must” have a bachelor’s degree. But certainly at more tech-focused companies, that’s not an issue.
That said, having a bachelor’s degree can open a lot of doors in life, so I’m reluctant to encourage you to skip it, unless the finances are a huge burden.