Yes, you can sue for fraudulent inducement if you are an at-will employee. The at-will status allows your employer to let you go at any time without notice (and allows you to leave at any time without notice), but it does not give them carte blanche to make false statements to you that you rely on to your detriment.
In the case White v. Smule, Inc., 2022 WL 503811 (Cal. Ct. App. 1st Dist. 2022), one of California’s appellate courts explicitly held that the employer could not avoid liability for fraudulently inducing an employee with statements about its planned expansion and need for an experienced project manager merely because the employment relationship was at will.