The Church does not take a position on the specific geographic locations of Book of Mormon events in the ancient Americas.
https://www.LDS.org/topics/geography?lang=eng
However...
Cumorah, Hill
See also Book of Mormon; Moroni, Son of Mormon; Smith, Joseph, Jr.
A small hill located in western New York, United States of America. Here an ancient prophet named Moroni hid the gold plates containing some of the records of the Nephite and Jaredite nations. Joseph Smith was directed to this hill in 1827 by the resurrected Moroni to get these plates and translate a portion of them. This translation is the Book of Mormon.
Nephites gathered at Cumorah, Morm. 6:2–4.
Cumorah was in a land of many waters, Morm. 6:4.
Mormon hid the records in the Hill Cumorah, Morm. 6:6.
All but twenty and four Nephites were slain at Cumorah, Morm. 6:11.
We hear glad tidings from Cumorah, D&C 128:20.
Joseph Smith took plates from the Hill Cumorah, Joseph Smith—H 1:42, 50–54, 59.
https://www.LDS.org/scriptures/gs/cumorah-hill?lang=eng
And...
The events that took place at the Hill Cumorah were foundational to the establishment of The Church of Jesus Christ of Latter-day Saints. Directed by the angel Moroni, Joseph Smith found the golden plates deposited in the hill on September 22, 1823, approximately three miles from his home. Joseph met the angel there on the same date the next four years until he was finally allowed to obtain the plates. From those plates, he later translated the Book of Mormon by the gift and power of God.
In the 1820s, the hill did not have a name. It later became known as the Hill Cumorah because Moroni, the Book of Mormon’s final author and the angel who met with Joseph Smith, wrote that he had hidden the golden plates in a hill called Cumorah (see Mormon 6:6).
https://history.LDS.org/subsection/hist ... h?lang=eng
That certainly looks like the Church taking a position on the geography of the Hill Cumorah.