No, based on the information you shared you are not required to file a part-year tax return for Illinois.
You must file an Illinois part-year return if any of the following are true:
You earned income from any source while you were a resident
You earned income from Illinois sources while you were not a resident
You want a refund of any Illinois Income Tax Withheld
To read more, click the following link for the Illinois Income Tax instruction booklet: http://www.revenue.state.il.us/TaxForms/IncmCurrentYear/Individual/IL-1040-Instr.pdf