Yes. Allah mentions among those forbidden in marriage "your foster-mothers who suckled you and your foster-sisters through breastfeeding," and the Prophet (ﷺ) said: "What is made unlawful through blood relations is made unlawful through breastfeeding." So a wet-nurse becomes like a mother, and her children become siblings to the nursed child, with the same maḥram rulings. The majority of scholars require that the suckling occur during the first two years and, per the Shāfi'ī and Hanbalī view, that it be at least five separate feedings.
Evidence — the daleel
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Informational, not a personal fatwa. Consult a qualified scholar for rulings on your situation.