Rename every page to a text field that page

Yes, you can do that,

    Try this,

var c = 0;  
var myStyle = "test";
while(c < app.activeDocument.pages.length){
    var found = findMyTextStyle(myStyle, app.activeDocument.pages);
    //If found then do//
    //else you can choose something else to do//
    //you can find character style instead of paragraph style//
    if(found==null){
        found = "1";
        }
    var sec = app.activeDocument.sections.add(app.activeDocument.pages);
    sec.continueNumbering = false;  
    sec.pageNumberStart = parseInt(found);
    c++;  
    }  
function findMyTextStyle(myStyle, myPage){
    var myStyleFound = null;
    app.findTextPreferences=app.changeTextPreferences=NothingEnum.nothing;
    try{
        // You can use paragraph Style Or character style, depending on your need------------------------
        app.findTextPreferences.appliedParagraphStyle = myStyle;
//~         app.findTextPreferences.appliedParagraphStyle = myStyle;
        
        var myFoundStyle = app.activeDocument.findText();
        app.findTextPreferences=app.changeTextPreferences= NothingEnum.nothing;
        app.findTextPreferences = app.changeTextPreferences = NothingEnum.nothing;
        for(i = 0; i <myFoundStyle.length; i++){
            if(myFoundStyle.insertionPoints[0].paragraphs[0].parentTextFrames[0].parentPage.name.toString() == myPage.name.toString()){
                //You can do something here//
                //Or store your page number start here//
                //And return using variable//
                myStyleFound = myFoundStyle.contents.toString();
                }
            }
        }
    catch(e){}
    return myStyleFound;
    }