our son got 109198 rank with a percentile of 90.298% in JEE main, is there a chance for NIT Trichy

Hey.
If your rank under the general category is 109,198 then as per the previous year trends for admission in NIT Trichy for the general  category, you don't seem to have any chance for admission under the Home state quota or the Other state quota. As the previous year cut offs are too high for this college.
You can use the link below to check out previous year cut offs for other NITs.

https://www.google.com/amp/s/engineering.careers360.com/articles/jee-main-cutoff

You can use the link below to predict colleges basec on your JEE scores.

https://engineering.careers360.com/jee-main-college-predictor

Best of luck