How to print something when a character touches a character
You check StickMan and Object only X position not check Y position
incase you can check StickMan Y or check StickMan action like this code below.
or try this sim https://www.tinkercad.com/things/1LiyoY5n1mS-copy-of-stickman-rush/editel?sharecode=X6rMj1GjrKoAH95qWKY21z98ttyAs5aOTAKYy6hVJ3c
// Defind it on top
bool stickManIsJump = false; 

// Added some code to check StickMan isJump or not
if (mapX &gt; 200) {
  lcd.clear();
  lcd.setCursor(stickManPosition, 0);
  stickManIsJump = true;        /////////////// ADDED
  lcd.write(byte(0));
} else if (mapX &lt; -200) {
  lcd.clear();
  lcd.setCursor(stickManPosition, 1);
  stickManIsJump = false;       /////////////// ADDED
  lcd.write(byte(0));
}

if (stickManPosition == obsticalPosition &amp;&amp; !stickManIsJump) {      /////////////// ADDED
  lcd.clear();
  lcd.print(&quot;Game Over.&quot;);
}