Step 1: Concept
Potassium dichromate ($K_2Cr_2O_7$) is a strong oxidizing agent in acidic medium.
Step 2: Meaning
An oxidizing agent can only oxidize species that have a lower reduction potential than itself.
Step 3: Analysis
Fluorine has the highest reduction potential ($+2.87V$), which is much higher than dichromate ($+1.33V$).
Step 4: Conclusion
Thus, dichromate cannot oxidize fluoride ions to fluorine gas.
Final Answer: (E)