It's possible but unlikely.
Many evangelicals and abolitionists thought that slave-holding states would be better suited outside of Africa. It's really paranoia that changed the sentiment from putting them in Africa to Indian territory instead. Fact is, these free peoples would have given over valuable intel to the Brits and Spain as spies if they were resentful about the move. Most blacks did not think of themselves as Africans but as Americans, so the proposal was unpopular on that end as well. This was part of the reason majority of the nativists and nationalistic members of the A.C.S opinion turned away from settlement in Africa: loosening of control and oversight would endanger the U.S.
Now opponents of the majority of the nativists tried to sell the relocation to Africa, but it didn't outweigh the relocation in the Midwest. Keeping them on American soil offered the U.S the chance to stick these unwanted peoples in the middle of Indian Territory with little to know allies, isolated them away from any other European colonies, basically pit them against the Native Americans in the surrounding territories, and no access to the coast. If they happened to eventually implode, then it would be no one's fault but the almighty and the kindness of the U.S.
And there's more.
Liberia was used as a sponge to suck a bunch of free peoples of color (and runaway slaves) away from areas many southerners felt were way to close. Tribes like the black Seminoles, Seminoles, Lumbees, the Gullah and Geechee peoples, and a decent amount of Louisiana Creoles and Haitians went with them was bonus for the U.SA at the time. It helped reduce the runaway and free-colored peoples population to more tolerable levels on the east coast. It was seen as a win-win for the Northerners and Southerners, and most free colored folks were sold that this was simply an establishment of brown folks with their red brothers.
There are other major factors such as the 1812 war being more costly than first thought or the Comanches having a mini horde running around as a last FU from Spain. Not too well versed on them but they contributed just as much to Liberia's establishment. Furthermore, I doubt the A.C.S had the political capital to expend resources establishing a costly colony overseas: the American people wouldn't support this nor would the colonies or Africans accept such large foreign populations.
The A.C.S did tout the project as a success once Liberia started integrating among the Indians but hindsight is one of the mindkillers... No one thought they could actually be more successful beyond just trying to survive or even expanding. That they were able to ingratiate themselves to the U.S so they wouldn't be squashed immediately is really what's fascinating to me.
It's not pretty once you look into the details but they are one of the few if only success stories among colonies in this era.