Not quite.

Jesus very clearly is pointing to Peter and giving him a title and a role.

It is true that we all must in our own way and in our space take on the happy burden of bringing others to Christ, as we pursue holiness relentlessly.

But it's fashionable now to say "a = b and b = c and c = d" in a form of slippery relativistic reductionism, emptying out the meaning of the Gospel to suit our fancies and passing fads.