Is it possible to get version history using javascript form custom list office 365?

According to your post, my understanding is that you want to get list item version using JavaScript Client Object Model.

The following code snippet for your reference:

that.getData = function (listName, xmlQuery, contentType, onGetSuccess) {
var objClientCtx = new SP.ClientContext.get_current();
if (objClientCtx) {
    var oWeb = objClientCtx.get_web();
    var oList = oWeb.get_lists().getByTitle(listName);                
    var query = new SP.CamlQuery();
    query.set_viewXml(xmlQuery);
    var objlistItems = oList.getItems(query);
    objClientCtx.load(objlistItems);                
    objClientCtx.executeQueryAsync(function (sender, args) {
        that.DataSet = [];
        var objlistEnumerator = objlistItems.getEnumerator();
        while (objlistEnumerator.moveNext()) {
            var objListItem = objlistEnumerator.get_current();
            var id = objListItem.get_item('ID');
            var filePath = 'your site collection/Lists/your list/'+id+'_.000'
            var web = objClientCtx.get_web();
            var listItemInfo = web.getFileByServerRelativeUrl(filePath)
            var listItemFields = listItemInfo.get_listItemAllFields()
            objClientCtx.load(web);
            objClientCtx.load(listItemInfo);
            objClientCtx.load(listItemFields);
            //objClientCtx.load(versions1);
            objClientCtx.executeQueryAsync(
                function (sender, args) {
                    var fileVersions = listItemInfo.get_versions();
                    objClientCtx.load(fileVersions);
                    objClientCtx.executeQueryAsync(
                        function (sender, args) {
                            var objlistVersionEnumerator = fileVersions.getEnumerator();
                            while (objlistVersionEnumerator.moveNext()) {
                                var objCurrentListItemVersion = objlistVersionEnumerator.get_current();
                                console.log(objCurrentListItemVersion.get_url());
                            }

                        },
                        function (sender, args) {console.log('Error');}
                    )

                }, 
                function (sender, args){
                    console.log('error')
                });                         

        }
        onGetSuccess(that.DataSet);

    }, function (sender, args) {
        that._onGetFail(sender, args);
    });
  }
}

More information is here: How to get all versions of a SharePoint list using JSOM