Yes! You can assign lessons to individual students OR to an entire class.
Assign lessons to all current and future students with "Default Assignments":
Creating a "Default Assignment" means that the lesson will be assigned to all current students AND will be waiting for any future students as soon they join the classroom. In this way, you can have create class assignments before you even have students in a class. This also allows students that join a class late in the semester to easily access and complete the most important previous assignments for the course.
You can assign Default Assignments for the first time, or reassign for extra review: