Probably not. There was a similar case, Dircks v. Indiana Dep't of Child Servs., No. 1:21-CV-00451-JMS-MG, 2022 WL 742435 (S.D. Ind. Mar. 11, 2022), that involved a couple suing the Indiana Department of Child Services under similar 1st and 14th Amendment violations for CHINS removals. The federal court tossed the § 1983 suit because:

DCS is not a “person” subject to suit under 42 U.S.C. § 1983. It is a state agency and is not a person that can be liable for money damages under § 1983. See Will v. Mich. Dep't of Soc. Servs., 491 U.S. 58, 64 (1989); Boston v. Ind. Dep't of Child Servs., 2021 WL 795452, at *3 (S.D. Ind. Mar. 2, 2021). Furthermore, as a state agency, DCS enjoys immunity under the Eleventh Amendment. Williams v. Ind. Dep't of Child Servs., 2019 WL 3003906, at *2 (N.D. Ind. July 9, 2019) (“For the purposes of Monell liability, DCS is a state agency and it is well-settled that the Eleventh Amendment prohibits the Court from exercising jurisdiction over it.”). This immunity applies to agencies of the state, regardless of the form of relief sought. MCI Tel. Corp. v. Ill. Bell. Tel. Co., 222 F.3d 323, 336 (7th Cir. 2000).

Maybe it'd work if they sued indivdual people involved like social workers or school counselors, but then you'd run into the same qualified immunity problems that comes with suing cops.