Yes, it means kind of "don't mind it", "skip it", "pay no attention to it", "don't dwell on this"
You can use it in such a conversation, for instance;
A: Dün erkek arkadaşımdan ayrıldım (I split up with my boyfriend yesterday)
B: Boş ver. Aldırma (Skip it, don't pay much attention to it, -cheer up-)