Not!
In the link provided, it mentions one group that adhere to this doctine: Landmarkists.
No church, no denomination on the face of the earth can trace its roots any further back than the third century.
Between AD 70 and the late 300's, there are no viable evidence which
for certain validates any church existence. The Roman Catholic church does claim that Peter is the foundation for their church, but, even at best, that is disputable. All the churches mentioned in the Bible, no longer exist. None!
The fact is, the Catholic church can trace its roots no further back than Constantine's era.
Now, as to Baptist sucession, this is primarily a belief held by Landmarkists. They believe they can trace their roots all the way back to the first church in Jerusalem. They get their name from this passage of scripture:
"Remove not the ancient landmark, which thy fathers have set." -Prov. 22:28 (KJV)
Fact is, Baptists can trace their roots no further back than around 1602 and their founder John Smyth.
But, what I do accept is that Baptist teachings are closer to what is taught in the NT than any others.
Research "Landmarkism", here is the link for you:
source.
God Bless
Till all are one.