I entered the United States legally with a tourist visa. Can I change my visa for a student visa if I want to enter a school?

You must begin your process before your allowed time of stay expires and get the I-20A form of an authorized educational establishment and proceed to submit your application to the USCIS. This implies that you will complete an academic program in its entirety. The student visa does not authorize him to work. There are other requirements and it is important that you advise well so as not to make a mistake that can cause you problems with times of stay without permission in the country.