Depends on whether the woofer ITSELF is rolling off around the desired crossover point.
One example of this, is the famous EPI 8" woofer... it has a distinct second-order rolloff, right at about 1800 Hz, BY ITSELF, due to the mass and inductance within the voice coil assembly. It introduces the same phase shift as a normal "wide-band" woofer would, COMBINED with a second-order low-pass filter.
If your woofer has this sort of behavior, then you can have a second-order ACOUSTIC response, without any sort of electrical low-pass components. Naturally, this would require measurement, to determine if the rolloff is in the right place, and the right shape...
Regards,
Gordon.