Q: Does the word "touch" mean the same thing in "He could not touch the meaning of the poem." and "Touch the stone for good luck."?

A: different meanings

Q: Does the word "place" mean the same thing in "A political system with no place for the less prominent groups." and "A place in my heart."?

A: the same meaning

Q: Does the word "entreaty" mean the same thing in "We need an entreaty to stop the hostilities." and "An entreaty to stop the fighting."?

A: the same meaning

Q: Does the word "catch" mean the same thing in "I would love to have dinner but I have to catch a plane." and "Catch the ball!"?

A:
different meanings