Does a Student With a Software Engineering Degree From a No-Name School Have a Shot?

What’s up everyone, I’m a second year student at a little known tech school in software engineering, looking to go into the field of algorithmic trading, quantitative finance, research, etc. I’ve been a pretty avid reader of this sub for a few months, and seeing all of the dual CS/Math majors here from target schools makes me wonder.

As a software engineering major from a non-target school (good GPA, several data-scraping/statistics side projects in python on resume) do I have a shot at any sort of position in this field? I know I’m not going to land a rockstar position at two sigma or the like, but are there options? I’m about average at maths, and would call working with pandas / python in general my specialty.

For those of us who would otherwise be suited for an ‘average’ software dev job at a non-competitive company, are there options in this field? Any job related to programming and markets would be the coolest thing in the world to me.

Thanks to anyone who takes time out of their day to respond!