It's totally possible. Which isn't to say that it's easy. If you go down that road, be prepared to sacrifice your social life for several years.

The most frustrating thing will be going through basics that don't seem connected to your eventual goal of ML; this is potentially a long phase.

I'd recommend Khan Academy for the math basics. Schaum's Outlines series for lots of worked problems. I'd recommend Strang's MIT OCW videos and books for Linear Algebra. I first learned calculus from an economics book, probably best not repeated ;). Bishop's PRML book is a good source on probability, Bayesian stats and machine learning.

I did a part time MSc in applied stats while working full time. Even in the MOOC era, there's nothing like real exams to focus your efforts.