Not even close. You need to build an entire chemical industry from scratch before you have the refrigerants needed for an air conditioner. And before that, you need a petroleum industry to give you the volatiles you'll crack to make most modern chemicals.

And again, you're mistaking modern for what must be. You won't have guns, which is what enables our slaughter of the biota. Actually, given the starting conditions, what you'll have are sharpened sticks hardened in a fire, unless one of your colonists happens to be a bowyer and another a fletcher.

Again, we need a massive, very specific list of what technology we're bringing along on this trip, because this is not a colonization as we understand it. This is a shipwreck, where you are tossed on shore with the clothes on your back and maybe some tools salvaged from the wreck. Or maybe the better comparison is being marooned, which is really just killing someone without technically having their blood on your hands.