Is there a time limit for bringing CJEU proceedings against Europol?

Yes. For non-contractual liability claims under Article 340 TFEU, the limitation period is five years from the date the damage occurred or from when you became aware of the unlawful processing. For annulment actions under Article 263 TFEU, the deadline is two months from notification of the contested decision or, in the absence of notification, from the date you became aware of it. Missing these deadlines results in automatic inadmissibility, so prompt legal assessment after EDPS proceedings conclude is essential.