Yes, an object at rest can still have energy. This energy is known as potential energy. Potential energy is the energy stored within an object due to its position or state. For example, a book placed on a shelf has gravitational potential energy because of its height above the ground. If the book falls, this potential energy is converted into kinetic energy, which is the energy of motion.
Another form of energy that an object at rest can possess is chemical energy. This is the energy stored in the bonds of chemical compounds. For instance, a battery at rest contains chemical energy that can be converted into electrical energy when used.
In summary, even when an object is at rest, it can still have energy in the form of potential energy or chemical energy, depending on its position or composition.