Very likely not by Charles Wesley. None of the stanzas found in a search of Wesley's poetry at Duke University (1); nor are any of the stanzas in Osborn 1868-1872 (2) nor Kimbrough 2017 (3). First appearance of the hymn is in Coke and Asbury 1790 (4).
(1) https://divinity.duke.edu/initiatives/cswt/
(2) Osborn, George. 1868-1872. The poetical works of John and Charles Wesley: Reprinted from the originals, with the last corrections of the authors; Together with the poems of Charles Wesley, not before published. London: Wesleyan-Methodist Conference Office. Volume 1, 1868. Volume 2, 1869. Volume 3, 1869. Volume 4, 1869. Volume 5, 1869. Volume 6, 1870. Volume 7, 1870. Volume 8, 1870. Volume 9, 1870. Volume 10, 1871. Volume 11, 1871. Volume 12, 1871. Volume 13, 1872.
(3) Kimbrough, S T, Jr. 2017. Alphabetical index to the first lines of all stanzas of poetry by John and Charles Wesley. Eugene, OR: Pickwick.
(4) Coke, Thomas, and Francis Asbury. 1790. Pocket hymn-book, designed as a constant companion to the pious, Eleventh Edition. Philadelphia, Pennsylvania: Pritchard and Hall.