Well no, apparently, or we wouldn't be having this conversation.
People can eat as they like. But after many years of seeing people come and go, lose and regain (usually more) weight, one thing that is kind of a 'marker' that seems to divide the population is those who actually learn to eat whole foods low carb.
This is different from those who learn to eat select tiny amounts of high carb (small enough amounts to just barely pass as lowcarb), and those who learn to eat frankenfoods that pass as lowcarb (eg packaged LC stuff). Those are different eating plans.
The people who learn to make several basic 'foundation' recipes they make staples, and learn to eat and like whole foods, low carb foods, as opposed to faking it, squeezing it, etc. seem like the ones that this works for more often. Some people solve the breakfast issue with intermittant fasting and just skip it. Sometimes we make a lot of food in advance, like baking bacon and premaking burger patties or baking a bunch of chicken or lots of taco-flavor meat or meatballs, and then for breakfast it's easy to just nuke something.
Coffee with cream and a couple ounces bacon is great - the fat is very satiating. My kid hates eggs, but I make quiche with sauteed mushrooms, onions, peppers, black olives, and a bunch of cheese, and she nukes chunks of that for breakfast happily. You can take baked chopped chicken and mix it with some cream cheese and diced scallions and peppers and green or red enchilada sauce (I call that mexi-chicken mix) for a hot or cold creamy salad that is quick food and keeps for days in the fridge. Off to junk food (closest whole foods comes), you can grill/melt sliced meats and cheeses and slice that and dip bites in a homemade honey mustard sauce.
One of the things that actually did help me a lot was forcing myself to expand my concept of breakfast foods. We are indoctrinated that breakfast means cereal/porridge, or toast/bagels/muffins, or pancakes/waffles/frenchtoast, or bacon/sausage/eggs. (...or leftover pizza.) So folks not into the egg routine (like my daughter) feel bereft. Sometimes I make her LC pancakes but the reality is, that has almost no protein, and LC syrup is utter crapfood.
But after awhile if you make yourself learn a new habit, you may find that meatballs in blue-cheese sauce, or steak with marsala mushroom wine sauce, or curried chicken salad, or pork loin medallions with mustard sauce, or bite size chicken chunks baked in alfredo sauce and peppercorns, or grilled chicken with cordon bleu ham & cheese & mustard sauce, or chili with shredded cheese, or -- well you get the idea -- are FANTASTIC for breakfast. They taste awesome, they fill you up, they keep you from being hungry, and they make your nutrition numbers great right from the get-go.
I cannot claim expertise given I still have 150# I hope to lose. But the weight I've lost so far, and what I've seen in years of observing others on this eating plan, suggests that it is vastly more important to learn to eat and like what you should, than to try and force-fit crappy food into the 'allowed numbers' of some lowcarb plan (with all the grace of Cinderella's sisters and the shoe).
Best,
PJ