Yes, the LORD will provide the leaders of the church and elsewhere.
“18I will raise up for them a prophet like you from among their brothers. And I will put my words in his mouth, and he shall speak to them all that I command him.” – Deuteronomy 18:18 (ESV)
The people of Israel had Moses to lead them out of Egypt. As his time grew to an end, the LORD let known that He would provide leadership for them afterward. This leader would come from the people and he would speak the Word of the LORD as Moses did.
This demonstrates that God has a plan for us and will provide what we need, when we need. In this case the need would be leadership. God chose the next leader for the people prior to the need for him to take over. This would allow for the smooth and efficient transition from Moses to the next and it would all be as he LORD had intended.
I have experienced this myself a number of years ago. I was a member of the pastor search committee in our church. As committee members, we had reviewed all the applicants and even went to visit one at his current church. After offering to position, he turned us down. We continued to pray that God would provide the right pastor for his church and we kept coming back to the one. So we contacted him and he accepted. This was the man provided by God for our church when we needed him.
The LORD does not just provide for our physical needs. He provides for all of our needs. His provision even extends into the people needed in our lives.
When was the last time someone was provided for you? Are you even aware that the LORD will provide even the right people? What if you gave yourself fully to the LORD with the knowledge that He will provide all that you need when you need, even the people you need?