No, candidates who miss any sectional cutoff in CAT cannot qualify for IIM JAP regardless of their overall percentile. A candidate with 97.02 overall and 51%ile in one sectional is automatically rejected.
The JAP rules are strict: all sectional cutoffs plus overall cutoff plus academic cutoffs must be cleared simultaneously. This is why candidates with 95+ overall but sectional at 73-74 are disheartened because they miss JAP by a fraction. Top IIMs (ABC, LI, K) also maintain strict sectional cutoffs, but their thresholds are higher (75-85 for General sectional).
Prepare for all 3 sections equally; neglecting QA or DILR because you're strong in VARC is a common mistake that costs JAP conversion. Practice sectional tests to verify consistent performance. Check your eligibility at collvera.