Can I apply for the original signature of the trial transcript?

Of course.

The trial transcript is an important litigation document, which records the trial process and belongs to evidence of course. The court record does not need to be sealed, but needs to be signed by both parties and lawyers. Court records are invalid without the signature of the parties themselves. Many unjust, false and misjudged cases are made up by the case handlers themselves, and then signed by imitating the handwriting of the parties.