Can I get into a respectable CS masters program with a Math and Physics degree?

Hi guys,

I was planning on majoring in CS + Physics, but the introductory course for CS is really turning me off. I'm interested in machine learning, which I believe is mostly graduate work. I was wondering if I can do my undergrad in math & physics and still get into a respectable program (say tier 1 schools) to learn about ML

It feels like the material is a little rote and that I can learn it on my own. I have a much harder time learning math on my own, and I figure it might be more worth my tuition to do that instead.