Does IIM Lucknow only give admission to students with work experience?

The simple answer is no, IIM Lucknow and in fact, even other IIMs don’t give calls to just experienced people. Every MBA aspirant who has a Bachelor's degree in any field (minimum 3 years of course) or is in their final year is eligible to appear for CAT. You start getting calls from IIMs based on your percentile. IIM Lucknow Sectional Cutoff is 85 Percentile while the Overall CAT Percentile is 90 for General Category.

However, there are several other parameters that determine your chances of admission. The parameters along with their respective weightage are given below

From the table you can determine that the maximum weightage is given to CAT. Although work experience does carry a certain weight, a fresher can maximize their CAT score to compensate for it. 

IIM Lucknow gives more weightage to work experience than other IIMs but that does not mean it does not give admission to freshers. It’s just that experienced candidates have a higher chance of admission.