Yes, but only in a private center. You will have to undergo fertility tests again to decide the best treatment.
If you are sure that you want a second child and the first one you had in a private center, you can request that they keep a sample of the donor so that your children will be biological siblings. There will be no problem as long as you pay a reserve and there are no more than 5 babies born thanks to their donations.
Read the full article on: How to be a single mother? Fertility treatments and prices ( 34).

Sara Salgado
B.Sc., M.Sc.
Embryologist
Degree in Biochemistry and Molecular Biology from the University of the Basque Country (UPV/EHU). Master's Degree in Human Assisted Reproduction from the Complutense University of Madrid (UCM). Certificate of University Expert in Genetic Diagnosis Techniques from the University of Valencia (UV).