The answer is yes you can and no you can't....
The TT integrates a little with the Skyview. But nowhere near as good as what the Dynon autopilot would do. (The Dynon AP has a full flight director mode and loads of other features...audible alerts, etc etc.) The pilot guide and Dynon training videos can illuminate these advantages for you.
This is gonna get technical- bear with me....As far as the Trutrak, mine is connected to both Skyview and Avidyne IFD540 GPS. There is a toggle switch. When set to Avidyne, the TT can itself be in a couple different modes and this is controlled on the TT head unit. Track mode lets you dial in the GPS track, Altitude and Vertical Speed on the head unit using the buttons there. You can switch it to GPSS mode and it will follow the flight plan from the IFD540 (or any approved GPS) and you manually set the Altitude and Vertical speed on the TT head unit. In this mode, I have to bug an altitude on SkyView, and also select the altitude on the TT (same for track and heading and VS).
If I switch the AP source selector switch to the Dynon instead of the IFD the TT will (after pressing MODE) display the words SKYVIEW on it. It will then follow the flight plan that the Dynon displays but not using GPSS so it doesn't anticipate turns (I have barely tested this mode). If you clear the Skyview HSI to display no course guidance (or I think just a VOR source) then the autopilot will follow all the bugs that you set on the SkyView. It essentially becomes the controller for the TT. So you can bug a Heading (and yes a HEADING rather than TRACK like described previously), bug an altitude and a VS and the autopilot will fly these values. This mode is handy if you are getting vectored all over the place and really want to fly heading and not track although there is tons of debate over if it really matters. It is a switch flip, HSI touch, and one or 2 button presses to go back to the IFD and GPSS mode so I don't tend to use this mode in higher workload situations. But you're not bugging things and also setting the same values on the TT.
In both switch modes the Baro DOES NOT sync between the HDX and TT so you must sync the TT with the current altitude before takeoff and at each BARO change if you value accurate altitudes. (haha) And in BOTH modes the Control Wheel Steering functions as it should if you hold down the Disco button and make a turn, climb,descent etc.
I made a video awhile back showing the TT integration...well just the heading mode so I could probably do a longer video. I think this will be a good combo HDX plus TT for a lot of folks until (if) the Dynon AP is certified for everyone's particular model. I know I didn't want to wait the months, years?, if ever? for the PA32 cert. Maybe its just right around the corner.. At that time, maybe I'll swap my TT for the Dynon AP. But for now I am enjoying long cross countries with my family with the TT!
Here is the TT/HDX integration video I made that demonstrates how the Skyview integrates with the TT.
(I managed to find this TT Skyview supplement in the Experimental section of the TT site. Very handy as the TT itself does support the Skyview)
https://cdn.shopify.com/s/files/1/2...SkyView-Supplement_14.pdf?4475887108065629184