I have got myself so tied up in knots that even doing nothing by not initiating contact feels like I have done "something" as I have actively decided not to reach out!
I get it, I really do. I felt this exact same way when I was totally and completely
focused on him.
You could probably reach out and get some sort of reaction from him, maybe even one that seems kinda satisfactory. Will any contact do though, or do you want to change this dynamic?
What are your values in or out of a relationship?
Until I started living according to my own values, nothing changed. I am not him! He isn't me! We don't share the same brain. Thank goodness

Knowing that BPD behaviors exist and being able to recognize them is a great thing. It lets me know that my thinking is clear and okay; what I'm seeing and experiencing is really happening. It's validating to the max.
Twisting myself up in knots to somehow rationalize the behaviors and make them work didn't do me any good. Fearing his abandonment fears made me reactive (and codependent). I'd do things that didn't help either one of us. I'd chase, so that he wouldn't feel abandoned. Basically, so he wouldn't feel like I did. Only, I was more concerned with his feelings than my own. He wasn't giving how I was feeling a second thought! He was wrapped up in his own stuff.
So, after a while I got wrapped up in mine. In a good way!
Tending to my own business.
My refrigerator needs cleaning? I clean it.
There's a movie I want to see? I see it.
Love the heck out of my dog; make him treats.
Go to the garden center.
Hop on my bike and ride downtown.
Go to the library.
Go bowling.
Read a book.
Get my oil changed.
Go to the gym.
Mow the lawn.
Go to a museum.
Clean the grout

And so much more... .
These are things I have no problem doing on my own.
When my life is filled with things that are important to me,
he isn't the main focus.
When I stopped making him my main focus, he focused more on me

Focus on yourself, Connect

Seriously, it works! It changes the perception we have of ourselves and that's a really good thing on so many levels