I don't believe it will, it would continue on the next scheduled occurrence. It should be easy to test though.
I have no idea why you are doing a daily scan, this is very old school (but habit forming) from the days of on-demand only scanners:
- With a resident on-access antivirus like avast, the need for frequent on-demand scans is much depreciated. For the most part the on-demand scan is going to be scanning files that would be otherwise be dormant or inert. If they were active files then the on-access file system shield would be scanning them before being created, modified, opened or executed.
I have avast set to do a scheduled weekly Quick scan, set at a time and day that I know the computer will be on. If for some reason my system wasn't on, no big deal I will catch up on the next scheduled scan.