No, ICFAI University degrees cannot be attested by the Ministry of External Affairs (MEA) or the Ministry of Human Resource Development (MHRD). The attestation process for Indian universities typically involves the university itself, then the respective state government, and finally the MEA. ICFAI University's degrees are not recognized by all state governments in the same way that degrees from UGC-recognized universities are. Therefore, the attestation process is often complicated or impossible through the standard channels.
While ICFAI *universities* might have some recognition in certain contexts, the lack of consistent state-level and central government recognition often presents a challenge for attestation. You should contact the MEA directly or a relevant attestation agency to determine the specific procedures and whether attestation is even possible for an ICFAI University degree.