Meanings would change. Study is the pursuit of knowledge. Learning is the acquisition of knowledge. Work is the utilization of effort. We do not normally use 'learn' without an object, and the activity is hopeful at best: it is an autonomic function of our brain, not something we can will to do. I want to learn Spanish, so I study it every night; it is a lot o
One more thing. According to my manual the right word in the sentence I wrote should be "work" not "study," i.e. I CAN'T GO TO THE CINEMA TODAY; I HAVE TO STAY AT HOME AND WORK
study - to seriously and deliberately attempt to acquire knowledge in a formal manner.
learn - to acquire knowledge.
You could study without learning much (reminds me of those desperate night-before-the-exams cramming sessions). A child learns to do many things without studying them. You study at school and hope that you learn something. Sometimes I learn a lot when I read a nov