Hi @ashutosh,
Yes, you will certainly be able to accomplish this using cutadapt trim-paired, -> tutorial here. I would recommend running the 2 datasets separately (in fact for downstream use with DADA2 this is required) and use cutadapt to remove the 515F/806R primers from both runs. I also like to add on the --p-discard-untrimmed parameter to get rid of any reads that didn’t have these primers in them, but that’s a personal choice.
Your remaining reads should all be to that specific region.
I’ll also point you to this previous discussion on analyzing data from different regions which may of interest.
Good luck!