It sounds like you may be combining the names of two different people. There was a John Tyler, 10th President of the United States, and a James Polk, 11th President of the US.
John Tyler preceded Polk as US president.
John Tyler. John Tyler served as the President of the United States before James Polk. John Tyler was also born 5 years before James K. Polk.
John Tyler, James Polk, and Zachary Taylor.
Polk succeeded John Tyler as President.
I am assuming you are referring to John Tyler and James Polk, the 10th and 11th Presidents of the United States
James K. Polk
John Tyler gave up his office to Polk.
No. Tyler became President a long time before Van Buren died. In fact. Tyler died about 6 months before Van Buren died. (Tyler became president immediately after President Wm H. Harrison died. )
Dallas, Texas was named for George Mifflin Dallas (1792-1864) from PA who was Polk's vice-president.
James K. Polk replaced Tyler in 1845. (The election was in 1844).
Tyler McCalhoun
President John Tyler annexed Texas in the last months of his presidency preceding Polk. Tyler pushed a joint resolution through Congess which needed a simple majority to be passed.