I need quick help please

[Babyz1225]

My problem is that I live in an apartment complex with very narrow assigned
parking spaces. I've been living there for approx 3 months and the person
that I park next to left a note on my car saying that they are going to file
a claim against me for door dings on the side of his car. I have always done
my best to park far enough away from their car because I have a small child
to get out as well. I need to know what they can do, if anything, about
this? As far as I know they do not have proof such as photos or video and I
don't think that I was the one who dinged their car. Any advise?