No, The Stock Market in the United States is closed on Christmas Day, Sunday, December 25th, 2022
In the USA, Christmas is a federal holiday, therefore The United States Stock Markets will not be open on Christmas. In 2022 the stock markets observe Christmas on Monday, December 26th, therefore the stock markets will be closed on the day after Christmas too in 2022. The markets will reopen on Tuesday, December 27.
Source 1 - https://www.nyse.com/markets/hours-calendars