No, since egg donation must be anonymous according to Israeli law. Therefore, neither the intended parents nor the surrogate will know the egg donor, nor will she have any responsibility towards the child born as a result of her donation. However, it is possible, under the approval of a special commission, if the recipient needs a particular donor, in which case she will be known from the beginning.
The specialist responsible for each case may give information on the donor to the recipient woman to the extent she deems appropriate, provided that this is duly justified. In any other case, the donor is an anonymous woman.
Read the full article on: Surrogacy in Israel: Law, Requisites and Filiation ( 51).