I don't really understand what you're trying to say.
Does your exporter include timestamps for each metric? These are optional. It's almost always best not to include them unless you are *really* sure you know what you're doing. Notice that none of the standard exporters, like node_exporter, include timestamps. In that case, clock sync between prometheus server and exporter is irrelevant.
If you do include timestamps, and the values are too far in the past, or out of sequence, then prometheus will discard the metrics and log an error. You might need to run prometheus with --log.level=debug to see them.
If you're trying to export the time when some event happened - e.g. the time when a job was last run - then *don't* use the prometheus metric timestamp for this. Instead, expose a separate metric which is the timestamp as a Unix time. For an example of this in action, see how the node_exporter textfile collector returns the timestamp of the textfile it returned.