Yes you can. For at home playing, the built-in is pretty loud - the downside is that this must be the heaviest DGX ever. For amplification, you need either two amps or a quasi-stereo keyboard amp. You can buy a stereo to dual mono 1/4" jack patch cable. It is better if the amp has a line input or line level selector switch. Also, the DGX has a parameter in the function list to configure for line output instead of headphones. I normally use two Yamaha MS-150 amps which are general purpose sound system amps (150W / 118 dB) that work pretty well: at least as well as my Peavey keyboard amp which is supposedly purpose built. External amplification adds a little more bottom to the sound; the MS150 also has high and low equalization controls so you can twiddle the frequency response (I find the Yamaha output is slightly shrill). I rarely crank master volume above 7 and at 10 the speakers get a little muzzy in the mid range but the bottom is solid; the Peavy amp is louder but a little disappointing in fidelity. A classic problem that you can get with an all-in-one amp is that a keyboard can pump out solid / sustained bass notes which can cause an amp with cheap controls and hardware to break up - sound-wise or even literally.
You didn't say how loud is loud enough. In my youth I used two projection horn cabinets with dual 600 Wpmp / 125 dB amps with a Yamaha combo organ with bass pedals but I've lost my love of ringing in my years.
Even though Yamaha has ventured into stereo voices and done quite a lot with piano voice ambiance, they haven't done so much with organ voices so you might want to also outboard a Leslie simulator or be stuck with perhaps two organ voices that vaguely approximate; I always found an actual Leslie cabinet heavy, quirky and never loud enough.