I've done a fair bit of towing and in my mind there were 4 factors to focus on when we were deciding on an RV trailer: 1. Rolling weight (trailer + cargo), 2. Hitch weight, 3. engine/transmission, 4) vehicle.
1. Towing capacity. The mfg'er always exaggerate the numbers. After talking to several very knowledgeable people, I divide the suggested towing capacity by 2.
2. Hitch weight/suspension. For and RV trailer a rule of thumb is hitch weight = 10% of empty trailer weight, so even that is an underestimate when you consider propane tanks, batteries, etc. In addition, you have to consider the weight of cargo in the SUV, which I find can be significant (BBQ grills, smokers, supplies, etc.) For us I estimate 3-400#. Suspension issues can be addressed with helper springs and air bags.
3. Power. Obviously you need torque but the transmission is also key. Your SUV should have a transmission cooler if you're towing in hot weather.
4. Vehicle. You have a short wheel base SUV (see Porterhouse's post). While full sized, it’s still a consideration for stability on the road.
Bottom line, my answer is "no" for your vehicle. For a perspective, my tow vehicle is a 2023 F150 3.5 Ecoboost with max tow package. It has a rated hitch capacity of 850# (no way Jose!) and a tow rating of 11000# (ain’t gonna happen!) The trailer we chose, which is a perfect match for this truck is 4500#. It does great and I wouldn't want to pull anything heavier. We have not been out west or in the mountains yet - that test is yet to come. Fortunately the truck as a transmission temperature gauge.
I looked at a couple trailers before deciding on ours and asked to hitch the trailer to my truck to see how it sat. This was very helpful in the decision. Once you're in motion on the road, things are much different, but it will give you an idea of the real life towing capacity.
Good luck, hope this helps.