Can you get a full-time job at Google/Microsoft, if you went to crappy low tier schools?

I live in Silicon Valley, and due to cost, I had to go to a cheap local state school, here in California.

I got my Bachelor's Degree in Business/Technology. It was an accredited degree.

I then went to a very low tier no-name (but still accredited) school in the middle of no where near Louisiana, and got a Master's in Data Analytics. It was an online degree, but I made sure to check it was regionally accredited, etc.

I'm wondering, is getting a full-time employee Project Manager or Program Manager position at big technology companies like Google very unlikely with such low tier degrees at such unknown schools?

I know it's possible for Software Devs to do this, but what about more standard employment fields like Business Analysis, Project Management, etc.

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