A brief search on internet indicates that the answer is no.
First things first. The Soooners movement was not free. It cost money (not much, very cheap), and was a government sponsored scheme to get immigrants into the territory.
Now, almost every state has "adverse possession." But there are two kinds. One is where (without any title of any kind), a person excercised "open, notorious, and exclusive" possession of properly for a fixed period of years. The second is where title is defective, but a claim is made based on "color of title." The deed was no good, but if taxes are paid, and the person is in exclusive possession for a period of years, the title becomes "good" after a certain number of years.
Most states have both (although rarely is it really a squatters issue in the traditional sense). Most commonly, party A has land surveyed and builds a house. Ooops, surveyor makes a mistake, and the house is 1 foot onto the neighbors property. Nobody notices until, 21 years later, party B tries to sell HIS property, a survey notes the encroachment. A tells B to move his house or buy his land. A says - forget it buster, I been here for over 20 years.
The other situation occurs when a deed is bad for a myriad of reasons (sometimes with shenanigans, sometimes without). For example, owner sells and conveys the same remote property to two people, and B is the second person. He builds a house on the property and pays taxes, believing he owns the property. He later tries to sell the property and, woops, person C recorded his deed first. In the alternative, there may be a technical defect in the deeed. In any event, since B owned the land, excluded others, and paid taxes, PLUS he had color of title (which if it had been good, would have conveyed title), he owns the property.
Oklahoma ONLY seems to recognize the second scenario,
Thus, if you have been living on someone else's land for 25 years, not paid taxes, and have no deed, you can still be removed.