Maybe - maybe not.
I think the idea that you need small condensers for acoustic is misinformation to a point.
Small condensers can sound really good on acoustic and they're popular in that application. On the other hand, a mic doesn't know or care what it's recording. Depending on your level of experience it might be a better idea to experiment with what you have and learn the craft of recording. There are a lot of factors besides the microphone. When you're ready, you might prefer something else to the rodent, but your ears will tell you why rather than the internet or some kind of paint by numbers methodology.
LDC's have been used successfully on acoustic. Small condensers are popular in that role for a reason - typically they're less hyped and have more neutral off axis response. Ribbon mics and even some moving coil mics have been used with great success.
I don't understand all the hype over large condensers. Good dynamic mics and a pair of good small condensers can give you lots of mileage with recording anything you need, and they're much less expensive than good LDC's. The important part is how the mic is voiced, and how well that voicing matches the source it's in front of, not what type it is.
It's a bit like saying you need an LDC to record vocals. It helps to have a mic that doesn't have a harsh or grainy high end, and something that doesn't emphasize the range of sibilance too much. With a few exceptions, lots of the cheap LDC's do this. It might also be nice on a given source to have a mic that has excellent midrange response. Again, lots of cheap LDC's do not do this. Sometimes a small condenser can really shine for a given vocalist and song, but people think it's wrong because it's not a large diaphragm.
ANY mic will usually have SOMEWHERE where it sounds good, and possibly better than really popular mics costing a lot more.