In short, yes. In long, no.
To get the best possible output from a driver in a ported enclosure, it will be much bigger than the equivalent sealed box. Having said that, there is an overlap region where a larger sealed box will also work as a ported enclosure, but it just won't be the optimum setup.
Edit: i almost forgot - ported enclosures can give a higher output (anywhere over 3dB, which doesn't sound much but is actually twice as loud) but at the expense of sound quality. Ported boxes need to be 'tuned' to a particular frequency, which is boosted in volume, but the remaining frequencies may be diminished. Typically, sealed boxes have a tight, clean sound, where as ported enclosures tend to be more of a rumble.