Can the morning after pill damage your ability to conceive?

NO! Use Plan B as intended and your ability to conceive will not be affected one iota.
It is safe for future conception. The morning after pill only addresses the current pregnancy. It has no untoward effects for future conception.

Related Questions

Can taking the morning after pill affect your ability to conceive when your older?

The morning after pill is safe for future conception. The morning after pill has no untoward effects for future conception. Read more...
NO! There is no reason to be concerned about this; use the morning-after pill when you need it and you will still be able to carry a desired pregnancy in the future. Read more...