Yes because you can specify a called by other action that should happen if the chasing character reaches the specified distance from the character being chased.
1. create a new called by other action somewhere. Maybe create it in the chaser characters actions. Add the actions you want to happen when the character reaches the current character.
Maybe you want to make it a bit more exciting? You could consider creating a value, then set the said value at the beginning of the action block with a random number between 0 & 20 then create an if query to check if value is less than x play an animation that has character attack but miss & if over x then attack & kill the current character.
set random value in 'catch_player' between 0 and 20
if value 'catch_player' > 15
play animation 'miss'
else
play animation 'kill'
end if
... something like that maybe. Would make it more dynamic.
2. create a chase character action & link the called by other action you created to it. The 'reach' field is the radius in pixels, if I remember correctly.