Yes. Class C shares are a mutual fund share class: they invest in the same portfolio as other classes of that fund, but they use a different fee and expense structure, so returns can differ.
According to the U.S. Securities and Exchange Commission’s Office of Investor Education and Advocacy, Class C shares might have a 12b-1 fee and a contingent deferred sales load (CDSL) for some period of time (often a year). Because Class C shares generally carry a higher 12b-1 fee than other load-bearing classes, holding them for a long time can cost more.
Source: Investor.gov — Updated Investor Bulletin: Mutual Fund Classes (SEC Office of Investor Education and Advocacy)