Let's settle some terminology first.
I think that in practice, a lot of people say "the drops" to mean the entire curved section of the handlebar below the brake levers. I think that the OP is using drops and hooks as shown in the picture.
Also, when we say "flared drops" about handlebars, we do usually mean that the drops and hooks are flared outward. It is possible to have the hooks have zero flare, and the drops have positive flare - the Enve SES All Road handlebar has this feature, which means that on the hoods, your hands are at a neutral angle like on usual road bikes, but the drops are flared out.
Now, there is flare and outsweep. Flare means that the drops + hooks are moved out to the side of the bike. Outsweep is what you see with the Salsa Woodchipper bar in airace3's answer. The drops + hooks (and sometimes the ramps) are angled outward so that they aren't parallel. In contrast, the Acros and Thomson bars have flare but no outsweep.
Now, MTBs have wide handlebars. I don't MTB, but I think I've heard that this is to help with rough terrain - they help stabilize the front wheel, which helps offset the really short stems that are common today, and if your wheel gets bumped off course, you have more leverage to turn it back to neutral. I am actually not sure why wide and flared bars are getting more common in gravel. Gravel can encompass a wide range of terrain. I have a feeling that the wide flared bars help in technical terrain for the same reason that MTBs have wide handlebars. However, on dirt roads and smooth gravel, I don't perceive an advantage for flared bars for me. Naturally, personal preferences differ. But that's probably why some bars have flare.
Why would someone add outsweep? I'm not 100% sure, but it may give you a better wrist angle with very wide flare.
As someone else already said, if you are on a gravel bike and you need to get aerodynamic, you can be better off on the hoods, particularly if you use the aero hoods position. That would be an alternative if the drops are too wide for you. You might even consider aero bars, since you're probably solo and not under UCI regulations. You could select a bar with flare but no outsweep as well.
The last line asks if there are any models with wider hooks but narrower drops. By definition, any flared handlebar will have the drops wider than the hoods. There are definitely no bars with the drops narrower than the hooks (implying a positive flare at the hooks, transitioning to a negative flare in the drops).
On the off chance that the OP meant if there are handlebars with narrow hoods or hooks but flared drops, the answer is yes. The Enve SES AR bar above is one example. The 38cm model is 38cm at the hoods, 43cm at the drops. That is actually a lot of flare, when you think about it. Even 12 degrees of flare, which is on the low end, can add 50mm or more of total width. I usually ride 40cm bars, and I would consider 38cm, but I would not want the bars to be 43cm at the drops for a road bike. Some of the extreme aero road handlebars have absurdly narrow hoods and narrow drops due to flare - the AeroCoach Ornix is 375mm at the drops and 325mm (!) at the hoods. The aerodynamic gains if you can control your bicycle with 325mm hoods can be pretty significant - some drag tests are posted on AeroCoach's site. It should be obvious that crashing will offset the gains and also impair relationships with surrounding riders.