Yes. In fact, that's what gestational surrogacy is all about: the surrogate is just a gestational carrier, that is, she just carries the pregnancy until birth. You can use your eggs as well as the sperm of the intended father thanks to IVF.
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.