Yes, according to IRS' private letter ruling (click the link below), the cost of donor eggs are deductible as medical expenses under Internal Revenue Code Section 213(a).
According to IRS "A taxpayer may deduct expenses paid during the taxable year, not compensated for by
insurance or otherwise, for medical care of the taxpayer, spouse, or dependent, to the
extent the expenses exceed 7.5 percent of adjusted gross income, under § 213(a).
Section 213(d)(1)(A) provides that medical care includes amounts paid for the
diagnosis, cure, mitigation, treatment, or prevention of disease, or for the purpose of
affecting any structure or function of the body."
https://www.irs.gov/pub/irs-wd/0318017.pdf
