Unfortunately no, the property is likely not divisible so if the disagreeable sister pushes the issue and hires an attorney that knows what they are doing she could file suit to partition or sell the property. The best chance is to see if your father can buy out the other sister.
Purchasing the disagreeable sister's interest is likely the best way to go here. Unfortunately, issues like this come up rather frequently when dealing with real property and the absence of a Will.
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Your father can seek to have the estate probated. Once the probate is complete, each of the siblings will likely own an undivided 1/3 share. At that point, your father and sister can seek a partition of the estate where the court divides the property into separate shares. In your situation a judge may order that the property be sold and the proceeds divided, or that you and your sister buy out your other sister's share.
One thing to be aware of, is that right now, your dad and siblings probably don't have legal ownership of the property. When someone dies, real property doesn't automatically pass to the heirs. Your dad will most likely have to go through a probate proceeding to get the title transferred in the first place. Your dad and siblings don't have the legal authority to transfer the property by deed, and if they try, it will only cloud the title.
Have your dad and aunts get an attorney to help them work out the situation and take care of the potential probate to make sure everything gets done legally.
Always fun when there is no will. One of them has to administrate the estate. If it is determined that all three have an equal share, which is probably the case, then they would have to take it to the probate court and have the judge decide after hearing evidence, unless they can finally agree to take it to a vote.