Can Hog 4pc do this?

Here's few more answers/specifics...
Yes, Hog PC can be connected to MTC, LTC or SMPTE. I suggests using a MOTU Micro Express USB. I've had success using it.
The syncing is usually done by recording cues in Hog PC (chases, movement, etc), then you would do one of two things:
1- Enter the timecode markers (ie 1min32secs) into HogPC in the cuelists you made to corespond with when you want them triggered
OR
2- Pump the timecode into you HogPC (you will see the counter running) and trigger the cues when you want them to mark the timecode. This is called "Learn Timing". Example: play you music and/or video, then (with Learn Timing enabled) you would play the cues at the appropriate times and Hog PC sucks those values in. You can then easily adjust the timecode by simply changing the numbers in the HH:MM::SS window in the cuelist. Or simply delete the timecode value and redo the learn timing process to try again.

The Hog FX generator WILL help you program chases and movement etc. But you will also need some basic knowledge of Hog programming to store and edit things...plus, a little knowledge will just make your show look that much better. :-)

Those are pretty vague and basic descriptions of how to go about it...as with everything, I suggest reading up on the subject in the Hog Manual.

PLEASE NOTE: I get the feeling this has slipped throught the cracks in the answers after you original post...
In order to output DMX from Hog PC, you MUST have a Hog USB->DMX widget. Something like an ENNTEC USB->DMX device will not work.

All in all, I would suggest reading the manual and playing around on the software (free download) to see if you like the feel of the interface. It's actually pretty easy learn and intuitive if you have even the slightest programming experience.

Best of luck!

Here's few more answers/specifics...
Yes, Hog PC can be connected to MTC, LTC or SMPTE. I suggests using a MOTU Micro Express USB. I've had success using it.
The syncing is usually done by recording cues in Hog PC (chases, movement, etc), then you would do one of two things:
1- Enter the timecode markers (ie 1min32secs) into HogPC in the cuelists you made to corespond with when you want them triggered
OR
2- Pump the timecode into you HogPC (you will see the counter running) and trigger the cues when you want them to mark the timecode. This is called "Learn Timing". Example: play you music and/or video, then (with Learn Timing enabled) you would play the cues at the appropriate times and Hog PC sucks those values in. You can then easily adjust the timecode by simply changing the numbers in the HH:MM::SS window in the cuelist. Or simply delete the timecode value and redo the learn timing process to try again.

The Hog FX generator WILL help you program chases and movement etc. But you will also need some basic knowledge of Hog programming to store and edit things...plus, a little knowledge will just make your show look that much better. :-)

Those are pretty vague and basic descriptions of how to go about it...as with everything, I suggest reading up on the subject in the Hog Manual.

PLEASE NOTE: I get the feeling this has slipped throught the cracks in the answers after you original post...
In order to output DMX from Hog PC, you MUST have a Hog USB->DMX widget. Something like an ENNTEC USB->DMX device will not work.

All in all, I would suggest reading the manual and playing around on the software (free download) to see if you like the feel of the interface. It's actually pretty easy learn and intuitive if you have even the slightest programming experience.

Best of luck!