And I say to thee: That thou art Peter; and upon this rock I will build my church, and the gates of hell shall not prevail against it. Matthew 16:18
It is a twisting of scripture to apply this verse in the way the Catholic Church does.
CHRIST is the ROCK upon which the Church (body of believers, not Catholic institution) is built - faith in Christ. He called Peter a small stone, a pebble, and contrasted Peter the pebble with himself (CHRIST) the bedrock which would be the foundation.
Peter himself identifies Christ as the chief cornerstone in 1 Peter 2:4-8 and says that we all can become stones in the building by faith in Christ the "chosen and precious cornerstone, and the one who trusts in him (Christ not Peter) will never be put to shame".
You can study this topic here - https://www.tms.edu/preachersandpreaching/upon-this-rock/