No. Sola scriptura doesn't entail cessationism. Actually, Scriptures teach continuanism many times over.
First of all, no scriptures say that there would be no miracle after the death of the apostles. Many passages of the Bible talk about the fact that believers in general will be accompanied by miraculous signs and have miraculous gifts and none of these passages add "believers contemporary to the apostles" or "...as long as the apostles are alive" or something along these lines. The Scriptures also say why these gifts and signs have been given, they have been given "to equip the Church until we reach the stature of Christ" and well, this didn't happen yet.
Second, here are instances of the Scriptures asserting more clearly that the gifts would continue past the days of the apostles:
- "And it shall come to pass in the last days, saith God, I will pour out of my Spirit upon all flesh: and your sons and your daughters shall prophesy, and your young men shall see visions, and your old men shall dream dreams" Act2:17. Are we in the last days or did the last days stop with the death of the apostle John? If we are still in the last days, then the Scriptures tell us that now, right now, some of our brothers and sisters will prophesy, see visions and dreams. The Scriptures basically announced continuanism.
- the Scriptures say that the two witnesses will prophesy and perform miracles. When these two come, will the offspring of the cessationists oppose them?
- cessationism would mean that verses like Rom12:6, 1Cor14:1,24,31,39 were written for just a couple decades and aren't valid instructions for the Church anymore.
Finally, God is the same today, yesterday and forever. He performed miracles through his servants from Enoch to John during 4 millenia, why would he suddenly stop altogether for no particular reason? The existence of Scriptures can't be the reasn because the churches already had Scriptures when Agabus prophesied and while Paul was healing people and casting out demons.
So, sola scriptura doesn't support cessationism at all, quite the contrary.
By the way, here's some real-life experience: the current Pastor of my local church used to be Muslim and very hostile to the Gospel. He became Christian because at some point, he became physically blind (completely) and completely paralyzed as well for years, and then one fine day, a lady preached the Gospel to him and the same night while he was alone, Jesus talked to him, healed him from his blindness and told him that he had to go to church and serve him (Jesus). He went to church the next day, not blind anymore, seeing perfectly but still paralyzed. But at church, he was healed and walked. That's how he believed and became a fervent Christian. Cessationism is not reality!
My hypothesis is that cessationism was born as a rationalization, a way to cope for religious leaders who realized that they never witnessed signs and wonders like the apostles.