Yes, the IRS looks at the total of all the RMDs for the IRAs, and doesn't care which IRA it is drawn from.
According to the IRS guidance on RMDs at this link:
If you have more than one IRA, you must calculate the RMD for each IRA separately each year. However, you may aggregate your RMD amounts for all of your IRAs and withdraw the total from one IRA or a portion from each of your IRAs. You do not have to take a separate RMD from each IRA.
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