While you can do it, I wouldn't. First of all, the headphone output from an amp is not going to be a very large signal - in other words, it's not strong enough to drive a loudspeaker. Also, you run the risk of an impedance mismatch. Most headphones are rated higher than 8 ohms and your PA speakers are likely to be rated for 4, 8 or 16 ohms. Not sure how tolerant it would be of this mismatch, but it would suck to find out that it wasn't and you smoked the headphone amp.
If your amp has a speaker emulated line output (not sure if the spider does or not tbh) you could plug it directly into the PA via a line input, but not the PA speakers, because speakers take high voltage signals that a headphone output does not supply.
I like analogue Solid State amps that make no effort to be "tube-like", and I'm proud of it...

...A little too proud, to be honest.