This is actually possible(I am using it for testing personalization blocks rather running from a delivery - quite easy to edit HTMLs) but with some twinkling to the jssp code, I am mentioning the steps:
1. setup your JSSP page to make specific DB calls(you can look out existing OOB Jssps/others for the reference)
2. With the generic query editor make your query for personlisation block - something like below
var resZ = sqlSelect("block,internalName:string,label:string, mdata:memo", "SELECT I0.sName, I0.sLabel, I0.mData, I0.iIncludeViewId, I0.iFolderId, F1.iFolderId FROM NmsIncludeView I0 JOIN XtkFolder F1 ON (F1.iFolderId = I0.iFolderId) WHERE (I0.sName = E'name of personlisation block') LIMIT 201");
You can then parse thi variable(resZ ) inside jssp HTML to display data, Works like a Charm!!