OK, not that part. Yes it can. I found a coin that had 1/2 on the left of the coin
Machine Doubling, the right half was a doubled die.
Here is a 1969-S Normal cent and one with
Machine Doubling:

The reason I mentioned this first, the Big
DDO had a very large percantage of the
DDO's with MD as well (in the same place)

Probably less that 100 of these coins and about 70% of them had MD on them. Probably all struck from the same defective machine. But just one set of dies were used and all the coins are in the earlier die states.
Normal coin with
Machine Doubling:

Probably submitted because the thought it was hub doubling. Well it graded as a normal 1969-S cent. (Grading companies don't ding coins with MD, they just grade them as normal coin with a literal grade)
This machine may have had the doubled die on it when it was striking the big
DDO, but they noticed it and pulled the die.
So
Machine Doubling can happen on doubled dies as well.
Machine Doubling is a problem with the machine, so it strike the coin, then the dies after it finished strike wack the fresh devices damaging them. Well the same thing can and does happen on doubled dies as well. If I see MD on a coin, I wouldn't buy it. To me, its a damaged coin. But grading companies grade them as normal coins. Why? I guess they need the money. So people submit defective coins thinking they are something, then get it back as a normal coin. Doubled die with MD get graded as a doubled die, but no mention of the
Machine Doubling. Hope this helps.