"With Burp Copy to Clipboard for VulnReport you will be able to right-click any request/response in Burp and copy the data to a string which can be decoded by Vulnreport when pasted in this section type. The decoded request/response and URL will be added as vuln data sections."
Based on: https://github.com/salesforce/vulnreport/blob/master/vulnreport.jar
git clone https://github.com/cujanovic/burp-copy-to-clipboard-for-vulnreport
cd burp-copy-to-clipboard-for-vulnreport/
javac -d build src\/burp\/*.java -Xlint:deprecation
jar cf bin\/copy-to-clipboard-for-vulnreport-1.0.jar -C build burp
https://github.com/cujanovic/burp-copy-to-clipboard-for-vulnreport/releases