Yes. it was adopted by regulations in May 31, 1832 at the behest of President Andrew Jackson, who desired the Army uniform be akin that of the Revolutionary War, at least so far as facings/trimmings, etc. General Orders of June 11, 1832 noted the President approved and commanded the new uniform be established, and all officers were to have it by July 4, 1833.
Major General Alexander Macomb, general-in-chief of the US Army, 1828-1841. Per the President's wishes that the uniform reflect that of the Revolutionary War army, the general's uniform included the buff facings as worn by General Washington. Here's General-in-Chief of the Army, 1828-1841 Alexander Macomb in 1839:
Infantry adopted white trim and buttons, like this infantry private's uniform coat:
Artillery yellow and red trim and yellow buttons, red turn-backs on the tails, etc.
The facings and trimmings of the 1832 uniform reflected the uniform of the Continental army after 1779, like the artilleryman illustrated, with infantry from the northern and middle-Atlantic States (which had white facings) in the background (illustration by H. Charles Mcbarraon):
While the facings, etc. restored those of the revolution as desired by the President, the patterns of the uniform itself included copying the 1829 uniform coats of the British Army (albeit in blue). From a contemporary:
"General Macomb approves highly of the new regulation double-breasted coatee of the British service, with epaulettes for all ranks, and means to adopt it next year; though the citizens think that it is too gaudy for Republicans; however, as it is, they are obliged to tempt the officers by high pay, to remain in the service..."
Trousers for most were changed from gray (pattern of 1821) to sky-blue.
Here's the uniform Regulations of 1835 as printed in the General Regulations of the Army in 1835 (which were in force from Jan. 1, 1837):
NLM copy, inscription of Dr. H.L. Heiskell, U.S. Army, front flyleaf
archive.org
You will notice there is no description of the fatigue jackets or forage caps. They were not part of the regulation "uniform" but provided as a convenience to the soldiers and to prevent wear and tear on the uniform, etc. The Army merely commenced making the sky-blue cloth fatigue jackets in the sky-blue cloth to match the soldier's new pattern sky-blue overalls. The fatigue dress, including the cloth jackets and forage caps, was increasingly worn to the near exclusion of the uniform outside of parade and guard mount in garrisons.
Dragoon recruit John Hildreth recalled the first time he saw the fatigue dress, as commonly worn, on arrival out west:
Another McBarron illustration, an ordnance sergeant in foreground: A dragoon officer in uniform, and dragoons in the winter cloth fatigues in background.
The modes of the soldiers, particularly on the frontiers, including dress, is described by the army's inspection reports, as given in this excellent book by Francis P. Prucha:
In a similar vein, viz. the adoption of the Revolutionary War uniform, the US Marine Corps in 1833 re-introduced the Green uniforms of the Revolution. This was short-lived, being replaced in 1839 by a blue uniform similar to the US Army Artillery's for practical reasons (the green cloth was expensive and held up poorly in service).