Yes, there are logs in cuLearn that can tell you if a student attempted to submit the assignment.
For successful submissions, the report should include the following:
Submission form viewed.
A file has been uploaded.
The user has accepted the statement of the submission.
A submission has been submitted.
To see the logs:
Click on the assignment from the course homepage
Click the blue Gear icon on the top-right side of the page and select “Logs” from the drop-down menu.
Click “All participants” and select the specific student from the drop-down menu.
Click “Get these logs”
NOTE: In the assignment settings, if you do not have a “Cut-off date” set or have the “Require students to click the submit button” setting checked, students will be able to edit their submission at any time. These new submissions will be flagged as late if the deadline has passed.