I don't think there would be any harm in it, but I'm basing this off the fact that many people switch their high mileage vehicles to Valvoline MaxLife which is a semi-synthetic (also available in synthetic but that's difficult to find).
Similarly, it's safe to switch old vehicles to a synthetic, though the one concern you normally here is that the synthetic might clean deposits that were preventing leaks/burning, and thus potentially cause leaks or burning oil.
Out of curiosity, why are you looking to make a switch? How's it running now, and what do you hope to get out of switching to a semi-synthetic?