Usually, no. The legitimate avcoreexe is a safe system file.

Avcoreexe typically refers to a process or component related to Avast, a well-known antivirus and cybersecurity software. The "core" in its name suggests that it is central to the operation of Avast, potentially handling core functionalities such as scanning, threat detection, and system protection. Being a part of a reputable security tool, Avcoreexe plays a pivotal role in ensuring that a computer system remains protected from malware, viruses, and other cyber threats.

If you are looking to on this specific process, you might focus on the security implications of Remote Monitoring and Management (RMM) tools being repurposed for malicious activity. A New RAT and a Hands-on-Keyboard Intrusion - Huntress

While the file itself is legitimate, it can sometimes be associated with security concerns: Malware Disguise