Yes, a faulty fuse can cause the battery to not hold a charge. Fuses are safety devices designed to protect electrical circuits from damage caused by excessive current flow. When a fuse blows, it breaks the circuit, preventing electricity from flowing through it. If a fuse that is part of the charging circuit of the battery blows, it can prevent the battery from receiving the necessary current to charge properly. This can result in the battery not being able to hold a charge.
It's important to note that a blown fuse is not the only possible cause of a battery not holding a charge. Other factors, such as a faulty alternator, a bad battery cell, or corrosion on the battery terminals, can also cause this issue. If you suspect that a fuse may be causing your battery to not hold a charge, it's recommended to have your vehicle inspected by a qualified mechanic to diagnose the exact cause and perform the necessary repairs.