Technically yes, it is possible thanks to IVF surrogacy. As explained throughout this post, an embryo can be created using the eggs from woman A (i.e. intended mother) and then transferred to the uterus of woman B (i.e. gestational carrier).
Read the full article on: What Is IVF Surrogacy? – Process, Success Rates & Cost ( 52).

Andrea Rodrigo
Bachelor's Degree in Biotechnology from the Polytechnic University of Valencia. Master's Degree in Biotechnology of Human Assisted Reproduction from the University of Valencia along with the Valencian Infertility Institute (IVI). Postgraduate course in Medical Genetics.