I would have thought no, but my textbook appears to imply that the liquid being boiled in a confined space doesn't at its normal boiling temperature but does boil at a higher temperature. The reason I don't think a confined liquid can boil is because the external pressure in a confined liquid is replaced by the container. My book says that boiling initiates when the vapor pressure of the liquid is greater then the external pressure on the surface of the liquid. If the external pressure is the container only, then boiling can never happen unless the container were to break. Even if the the external pressure was not only the container but also the pressure of the surface of the liquid on the vapor within the liquid (vapor boils from the bottom of the liquid upwards, right), the boiling point should be lower then if boiling were to take place in an open environment without a container because there is no atmospheric pressure within a closed container. Really confused.