You can create the hyperlink which drills down to the subreport, along with the data from the previous report.
What you need to do is that in whichever portion you want to put hyperlink in the main report navigate to the portion and right click on the element and there is an option
Then a window will appear, with title HyperLink . Then in the Anchor Name Expression you need to set the path of the subreport, either the local path or if you want to use it over Jasper Server then the jasper repository path of the jrxml file of the subreport.
Then set the hyperlink type to the report execution and then and here in the Link parameters you could add the parameters which needs to be passed on to the subreport. Please take care of the mapping.
Then you are good to go.Hope that this Helps.
Thanks.