Yes. I don't see any grammar problems.
I know what it is trying to say but is not grammatically correct.
The rope is so (that)the search party can find their way back out of the cave. wrong
correct:
The rope is erected so that the search party can find their way back out of the cave.
The rope is for the search party to find their way back out of the cave.
The rope provides a guide for the search party to find their way back out of the cave.
not a teacher
Something is (??) so somebody can....'
Correct me if I am wrong. I understand the above as a compound sentence which is made up of two clauses linked by a conjunction (so). The first clause is incomplete, don't you think?
I'd like to have more views about this.