Yes, but it requires already quite developed intuition. That comes with meditation.
Despite this, often in the purification process we have intuitions and/or memories. By doing the work that
@SeguaceDiSatanas has intelligently proposed, you may gain insight into who might have done it, through intuition.
Even if you don't find out, the spiritual work will turn the curses back, and if you also do part 2, in addition to the general AoP and another spiritual working for protection (which can take as little as 10 minutes), you will be protected from further attempts. If you have doubts that it may be someone close to you, by building a strong protection, this person will reveal himself/herself in a natural and spontaneous way, and you will be distanced from him/her.