No, with that income, the student is not required to file a Missouri return.
According to the State of Missouri:
"you may not have to file a Missouri return if:
- you are a resident and have less than $1,200 of Missouri adjusted gross income;
- you are a nonresident with less than $600 of Missouri income; or
- your Missouri adjusted gross income is less than the amount of your standard deduction plus your personal exemption."
https://dor.mo.gov/personal/nonresident/
