What we can say here is limited. You need to take this to a body shop, or at least a shop who can inspect it and be sure the damage is repairable. The engine looks fine but check the exhaust manifold. It looks fine as you just avoided having to replace it but better to check then find out later.
First thing you need to worry about is the crumple zones, and crash bar under the bumper. If those are pushed into the point you need to cut and weld, the car is usually a total loss at that point due to the cost to patch it in, unless it’s a recent MY. The cost of the parts and labor usually do it, as you need to put it on an alignment machine to get it correct - and even then, there will always be alignment issues so if you sell it, the buyer will be able to tell. I don’t see anything concerning, but it looks like the foam in the bumper, bumper, radiator and A/C condenser took a lot of the damage. As a matter of caution, give replacing both a serious thought.
It does look like the brackets for the crash bar took a nasty part of the crash, so you need to make sure the subframe around it isn’t damaged as well. If it isn’t, you can usually replace them on the Hondas. You will want to replace both, and inspect the crash bar and replace it if needed - usually if those get bent in, the crash bar took a fair bit of damage.
This is also concerning, as it looks like a good portion of the front-end crumple zone may be damaged as well. You really, really need to take this to a body shop for a professional look.
The hood and bumper are cosmetic - you can get those all day at a junkyard, but you may need to get a can of clearcoat and Perfect Match touchup paint, or get the parts painted at a body shop. Check the headlight, but do not be surprised if the crashed side needs a new headlight.
If anything like parking sensors got ruined, replace them all at once because it can screw up the system if you have one that’s damaged in a crash, and an intact one.
Post some close up images of the damage to the engine, in your question.
Here's how to do it on ifixit iFixitでの質問に画像を追加する方法.
Also what is the year and engine size of the vehicle?
Regarding the vehicle being "totaled", it may depend on what your car insurance assessor decides, assuming that the car is insured that is
Thank you @jayeff added some photos.
Honda CR-V 2016. Not sure what the size of the engine is but its the base model of the car.
Johnjohn40092 John さんによる
@jayeff Most insurance companies total out for frame damage, which I'm seeing.
I don't know what the "cash" value of the model (5 years old?) would be (might depend on location I suppose) but if the repairs cost more than the value most insurers will total it and pay out.
Might also depend on the policy conditions since it was a "single vehicle" accident what the policy holder may get from them in return for it being totaled.
@jayeff Usually it's a percentage, like how I work with repairs - so for example if I'm looking at a HP SV panel and I find the things go for $175 average, I may total it out unless I could remove it and put a part that isn't overpriced in.
However, some like this may be instantly totaled.