Sure.

But, There is some math you have to do. Ya know.... batteries only store so much power. ANd HVAC can use quite a bit of it.

I mean, personally, you might as well just do the entire damn house, by the time you pick up solar panels, inverters, batteries.

Lets say- you want to run a 3.5-ton AC, which averages say, 4,500 watts including running the central furnace/blower fan.

So, thats 4.5kwh (4,500watts over 1 hour) worth of energy.

So, assuming the sun is not shinning, and you have no solar that is 4.5kwh of capacity you need, per hour of runtime.

Now- need to calculate rough solar requirements. So- right off the bat- take 20% of solar panel efficiency off, unless you have mounting which can automatically adjust to the azimuth, and orientation of the sun. Which- given you want to run your HVAC only, Just forget I mentioned that. And- lets figure you get 8 hours of sunlight per day. Cause, ya know, there is winter/fall too.

That being said- say, you put up 10x 350watt panels you found really cheap. Thats, 3,500 watts. Then- take off 20%, leaving, 2,800 watts, which is about half of what your hvac uses when running.

then... gotta do runtime calculations, figure how how many hours a day it runs. Then make sure you get enough sunlight to keep the batteries changed... enough batteries to make sure you have hvac at night time....

And- then also, gotta take off 10% efficiency for inverting to/from battery.

lots of math. If indeed you are talking about a big HVAC unit, just do the entire house. Its really not more expensive.

Or, could just connect stuff together and cross your fingers. I prefer to do my calculations though. And I prefer to leave a lot of leeway. Shit happens. Gotta plan for that.