Can you connect it? Sure, you can connect any speakers to any amplifier. But there are some caveats: hooking up lower impedance speakers than what the amplifier is designed for will make your maximum output power current-limited with higher power dissipation in its drivers than it is intended for which could potentially damage it while hooking up higher impedance speakers will make the amplifier voltage-limited.
If an amplifier output is designed with 8 ohms in mind and you use 4 ohms speakers, P = R * I^2 and for the same maximum output current as 8 ohms, you can only get half as much power on 4 ohms. With half as much voltage across the speakers on 4 ohms, the transistors also have to dissipate as much extra power as it delivers into a 4 ohms speakers compared to 8 ohms.
Plugging 4 ohms speakers into an 8 ohms amplifier will work, albeit only up to ~1/3 of the nominal output power. If you use a driver intended for 8 ohms speakers to drive that 3 ohms sub-woofer, you may only be able to drive it up to 40-50W instead of 175W.