Not exactly. Candlepower is an obsolete unit that refers to intensity in a particular angle. It has been replaced with the SI unit "candela".
The Candela is actually the base unit for photometry -- it is based on the apparent brightness of a sample of platinum precisely at its melting point. One lumen is defined as a beam with intensity of 1 candela, emitted into a solid angle of 1 steradian. A light source source emitting 1 candela isotroptically (uniformly in all directions) would be emitting 4pi lumens.
In general, if you were to take two sources producing the same amount of flux (Lumens), one projecting into a narrow angle, and another into a wide angle, the narrow angle light will have a higher intensity, or be producing more Candelas. Things like small accent spotlights, or 5mm LEDs usually specify brightness in Candelas -- as the relevant figure is how intense or bright the beam will be, rather than total output. Flood lights on the other hands usually advertize their output in lumens, or total flux, which is more relevant for general lighting.
Another photometry unit you may have heard of is called "Nits", commonly used to determine how "bright" computer monitors are. Nits are candela/square-meter. The reason this is used insetad of lux (lumens/square-meter) is because what you are generally interested is how bright the monitor will appear when viewed head-on, not how bright it is when looked at from off-axis.