I think there are spiritual breakthroughs definitely. Others have experienced them and so have I. The Bible says "The weapons of our warfare are not fleshly but mighty to the destroying of strongholds, casting down vain imaginations and everything that exalts itself against the glory of YHWH" aka God "and bringing every thought captive to Him."
We are also told "Be transformed by the renewing of your mind."
Read Psalm 1. There we are told that those who meditate on the Word day and night will be blessed in whatever they do.
So in those verses we are taught these lessons: We need to destroy strongholds, i.e. have spiritual breakthroughs. We also see where the battles are fought. In the mind.
Now I believe it is utterly impossible to turn all of our thoughts over to the Lord on our own efforts. Impossible. We may try and have a few minutes, even an hour, of success, then it is back to junk thoughts as usual.
So, my prayer for you is that you pray and pray to be led to get your mind off of the cares and distractions of this world, and to get them on the Lord and the Word instead. At first that seems boring. The world's way seems so much more interesting. But, as you train your mind to focus on the Word and the Lord, more and more you start to have peace, wisdom, comfort and even joy.