Would this work if you apply for a job that a few days to a week old?

If you apply for a job that's older the a few days say a week old, but you do everything you can to make sure it gets seen for example: you apply via the company website first thing in the morning or if this isn't a option, you apply via email first thing in the morning.

Would this work if you had a resume that was worth looking at? Or does the few days- 1 week just make it a lot harder regardless.