Maybe. If the outlet is a half-hot (only half the outlet is switched) the fix is easy. Just install a new outlet, using only the permanent hot in the box and cap off the switched wire with a wire nut.
If it is not a half hot, you may still be able to do it, depending on how the wiring is run. Remove the outlet and look in the box - is there an extra (probably black) wire or wires that is not connected to the outlet? If so, these are almost certainly the hot wires for that circuit: remove the wires from the brass terminal, cap them off, and put the other wires (that were not connected) in its place.
If there are no other wires, check the switch box. If the switch has a wire going only to the outlet (and a separate one to the light fixture) it can be connected to the permanent hot in the switch box rather than the switch. In most cases, the permanent hot can be located and used to power the outlet rather than the switched wire.