No. I think it depends of several factors:
1)The screenplay must be made into a movie, or else nobody knows how well will it do at the box office!
2) The movie must do extremely well when released. It must have such high revenues and become so well-known an well-liked by the audience, that the producers/studios might wonder if they can capitalize on this success and take the story even further by adding a sequel.
3)The screenplay's story must be built in such a way that it allows sequels. For instance, it's hard to impossible for " Titanic" to have a sequel. On the other hand, James Bond movies and " Die Hard" can allow a theoretically infinite number of sequels. In practice, there have been multiple sequels related to them, but the audience may eventually become bored of the core story + sequels themselves...