No, it is false that James Monroe coined the phrase "Era of Good Feeling" to describe his term as president of the United States, since in fact this phrase was coined by Benjamin Russell.
The phrase "Era of Good Feelings" was actually coined by a journalist, Benjamin Russell, in the Boston newspaper, Columbian Centinel, on July 12, 1817. Russell used that term to describe the new era under Monroe's presidency, after Monroe visited Boston as part of a goodwill tour of the US. President Monroe certainly went along with the description and was trying to evoke that "good feelings" sort of mood in the country. Historians see "The Era of Good Feelilngs" as having begun around 1815, after the War of 1812 and the end of Napoleon's wars in Europre, when the United States entered an era when it could focus on its own affairs and not need to be concerned about political and military happenings in Europe. The "Era of Good Feelings" is strongly associated with Monroe's two-term presidency, from 1817 to 1825. President Monroe made goodwill tours of the country in 1817 and 1819 to promote national pride and national unity.
