Yes, the way to break through this barrier is with much practice.

However, another key component is to slow the tempo way down. Play the chord progression much slower, so that you can make each change in time, cleanly, and comfortably. Once you find a tempo where you can make those changes in time ... practice them over and over. The repetition will begin to sink into your hand and finger muscles and it should become easier and easier.

Only then begin to speed up the tempo. Move your metronome up in 5 click intervals until the changes become problematic again -- then roll back to the nearest slower tempo where you can play the progression in time, cleanly, and comfortably. Then practice it over and over -- see the pattern?

With plenty of practice, the changes will become easier and easier, and you'll be up to proper tempo in no time!

Make sense? Let me know how it goes!
Mike