Parallel Jobs with same program and same variant

Hi Experts,

Can we run multiple jobs in background for same program and also if it has same variant.

we have a daily job set for a Program P1 with Variant V1. (this is for progress analysis) . Now we have some Month end series of jobs which are event based. We want to make sure that the Job P1V1 has run before  the MEC job starts. So we want to include P1V1 as a step in the MEC jobs.

But it could be possible that the daily job P1V1 is running while the MEC job which includes P1V1 is running. What will be the impact in that case?

Thanks,

Krishna