Yes you can, I have just signed up to do the level 3 with delta electrical training. As you have 2330 l3 etc you can enrol straight onto the standard course.
Get on it before March 31st though as it finishes then and a new qualification takes over. With delta there are no site visits just an online portfolio you complete, you have to take lots of photo's, looks daunting at first but not too bad once you get into it. You have to be able though to show work on at leat least three cable types and three enclosures, ie PVC singles, FP200, T&E, cable tray, trunking, conduit plus some other criteria (nothing major), look it up on their website.
Three reasonable size jobs see you through (cannot pass within 12 weeks, city and guilds rule but you submit the assessments), if you enrol before march 31st you have til march 2014 to complete I think (dont quote me on that last bit though). Delta training are excellent, you get a personal assessor who can email/call for advice.