This sounds like a cycle that I personally have just ended. This push/pull cycle is defiantly not healthy in anyway. It may be ongoing behavior - most likely not controlled in any way. Now before I go into some detail, please note that I don't give professional advise. There could be a possibility that the person experiences a personality disorder i.e. NPD, BPD etc. Now, if so, this person is either very terrified of being hurt (caused by past trauma) or is trying to connect with someone else (you are a possible option). Either way, if you have tried discussing this and they push you away further (this happened to me every week for 1.5 yrs) thisis usally a good sigh that the person may be suffering and doesn't know how to control their emotions.
Know that what ever the reasons are, the person is controlling your situation. By you attempting to reach out on several occasions and being given the silent treatment, the person is not healthy.
Try removing yourself from the situation, no contact, maybe send a text telling the person that you are thereto support them and to reach out to you when they are ready. This means that you have taken the control back and if the person really has feelings for you, they should return. If not, stay clear from people like this, they have no self compassion for themselves or for others.
Let us know how you are.