Vlad is right that it might be hard for you to get interviews with the same companies within a year. I heard about few situations when a candidate was rejected in one office of a certain MBB company, after few months he/she reapplied to a different office of the same company and got accepted, but that's rare.
You can always give it a try though and if invited then just remember to keep it quiet and do not share the news with any colleagues from your new Big 4 company. You do not want to burn any bridges there cause it may actually turn out you will like it there.
Additionally, I can tell you that based on my personal experience that after I joined my Big 4 company I had many times thoughts about jumping ship to join MBB, but at the end I never decided to do it. Few factors played a role: I liked the atmosphere in the office and my colleagues, projects were interesting and my career path progression was clear. Plus there was one thing that MBB could not offer me: as I became a father early it was very important to me to spend as many week nights at home as possible and as most of the clients of my Big 4 company had their HQs in the same city it meant that I could be at home more often than people from MBB. At that time I literally did not find any MBB consultant who was more often home than me. So who knows, maybe in your situation you will also find something in the Big 4 that you can't find at MBB. Hope it helps.