If I mess up on my application is there a possible chance thaat I will still get the job?

I turn my application in, but it was not well done. Because I made a mistake in cross somethings I put wrong, but I didn't scribble I just cross out. Will it be a possible chance that I may get the job or will I have to turn in another application.

Depends on whether writing is a skill you're being hired for. That wouldn't be good if you're applying to be a cop that has to fill out a lot of reports by hand because the employer would see that as a problem with your ability to do the job. For a job that doesn't require writing it might be acceptable.

If you need the job, the safe thing is to do another application.

Ask_Sean Says, Depends on what bits you messed up, if its an REALLY important piece of information then I would advise you send another CV/Application as that would be best.