One example of someone who wasn’t an Apostle but who laid his hands on someone and performed a miracle is Ananias:
{17}…Ananias departed and entered the house. And laying his hands on him he said, “Brother Saul, the Lord Jesus who appeared to you on the road by which you came has sent me so that you may regain your sight and be filled with the Holy Spirit.” {18} And immediately something like scales fell from his eyes, and he regained his sight. Then he rose and was baptized (Acts 9:17-18)
The power to heal people was not confined to the Apostles:
And God has appointed in the church first apostles, second prophets, third teachers, then miracles, then gifts of healing, helping, administrating, and various kinds of tongues. Are all apostles? Are all prophets? Are all teachers? Do all work miracles? Do all possess gifts of healing? Do all speak with tongues? Do all interpret? (1Cor. 12:28-30)
You could ‘possess gifts of healing’ without being an Apostle.
There was a form of ‘laying on of hands’ that was restricted to the Apostles: only the Apostles could lay their hands on someone to give them the Spirit:
{14} Now when the apostles at Jerusalem heard that Samaria had received the word of God, they sent to them Peter and John, {15} who came down and prayed for them that they might receive the Holy Spirit, {16} for he had not yet fallen on any of them, but they had only been baptized in the name of the Lord Jesus. {17} Then they laid their hands on them and they received the Holy Spirit. {18} Now when Simon saw that the Spirit was given through the laying on of the apostles’ hands, he offered them money{19} saying, “Give me this power also, so that anyone on whom I lay my hands may receive the Holy Spirit.” (Acts 8:14-19)
Also see: ‘Have the Holy Spirit gifts died out?‘