If you block someone can you care about them?

If a guy likes a girl would he block her? We got into a big fight and he blocked me and it has been almost 2 months but I know he sees what I post now. He reacted to a post in ways that he knows would hurt me. I thought we where done but me posting I was enjoying my night out set him off. When I posted that I did not even think he would see it since he blocked me and it had almost been 2 months. I feel if you block someone then you are not afraid to lose them and do not care for that person? Also I did apologize at the beginning for the fight he never did and never answered me at all. I feel he wanted me to beg him to take me back and this time I did not.
If you block someone can you care about them?
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