When hardware starts failing virtually anything is possible, such as MAC address table entries getting corrupted, and frames being sent to incorrect destinations. However, your issue may lie elsewhere. For example, since it's an unmanaged layer 2 switch, if you get excessive broadcast traffic, it will impact the ability for your devices to communicate. If you have access to a laptop/PC and wireshark, stick it on a spare port, then you can see what traffic is being broadcasted.
Also, is your entire network hanging off of the one switch? What's upstream of the switch, that routes between your network and the internet?