There are some problems with drafting and administering such a will, but I would think it would be doable. One comment says that it would be an issue "because the children aren't directly Aphrodite's", but i don't see that that is relevant. One can leave money to people who are no relation at all, and who are not specified by name in the will, such as the example of the members of a specific club mentioned in another comment.
A more serious problem is that gametes can remain viable and able to produce children for many years if properly preserved. Aphrodite's will should probably specify that only children in existence as of her death, or perhaps some cut-off date, say X years after her death, qualify as heirs under the will. It would also need to specify if "in existence" meant "born' or "conceived" or what.
A somewhat similar problem can arise without any special reproductive technology. A man can have children without ever knowing it, provided only that he has had sex. I have read of various wills containing provisions such as;
If any person comes forward within one year of my death and establishes that he or she is my biological child, I leave to that person the sum of $1000.
I believe that the wills of rich men sometimes contain such a provision as, in effect, insurance against possible will contents.
Aphrodite's will could be written in a similar way. Any person would have a limited time to come forward and establish parentage. All the persons who do that are the heirs.
Alternatively, Aphrodite could make an agreement with the egg-donating agency that a list of recipients will be provided to the executor under the will. Probably anyone accepting one of her eggs will be told in advance that names will be supplied to the estate under those circumstances, and have to agree to this before accepting the egg(s).
I am sure that a lawyer would fill in many details if advising a real Aphrodite with such an intent. I also assume that none of this would be bothered with unless Aphrodite is fairly wealthy, or even very rich. The whims of rich peole often get respect that those of others do not.