Yes, as long as there is a good ovarian reserve and the oocyte quality allows to obtain embryos with the capacity to implant in the uterus of the surrogate. If this is not the case, it will be necessary to resort to the eggs of a donor. In no case is it recommended to use the oocytes of the surrogate.
Read the full article on: Recurrent IVF Failure: Causes and Solutions to be Parents ( 51).