I would say they do. That word "Pastor" is poimane, translated everywhere else as Shepherd.
Therefore, I exhort the elders (presbuteros) among you, as your fellow elder (presbuteros) and witness of the sufferings of Christ, and a partaker also of the glory that is to be revealed, shepherd (poimane) the flock of God among you, exercising oversight (overseer, bishop) not under compulsion, but voluntarily, according to the will of God; and not for sordid gain, but with eagerness; nor yet as lording it over those allotted to your charge, but proving to be examples to the flock.…
I have taken this verse to link the following words, when used to describe a church office, as describing the same office:
Pastor, Shepherd, Elder, Presbyter, Overseer, and Bishop.
Otherwise when he brings up 'pastor' in the five fold ministry passage, he does so without any form of context to tell you what a pastor actually is. When we allow that Peter ties them together for us, we find we have an abundance of information about their qualifications, job duties, and common practices.
Any form of hierarchy between stations with these names (i.e. a head pastor with a board of elders under him) is, in my judgment, a mistake that is not necessary for the Church to bear.