The 29-year-old was shot in the back as he was being arrested.
Mr. Blake, who, family say, may now be paralyzed from the waist down, also struck a hopeful note, saying there was a “lot more life to live.”
The incident re-ignited protests over racism and police brutality in the US.
Some of the protests in Kenosha, the city where Mr. Blake was shot, turned violent, with two people killed.
An investigation into Mr. Blake’s shooting continues.
Meanwhile, Mr. Blake appeared in court on Friday, pleading not guilty to criminal charges filed before the shooting.
Mr. Biden spoke over the phone with Mr. Blake and met his relatives.
He has called for the officer who shot him in the back to be arrested.
The president did not meet Mr. Blake’s family, saying it was because they wanted lawyers present.
In a video posted to Twitter by his family’s lawyer, Mr. Blake, still he is in his bed, spoke of the pain he was suffering.
Blake said, “every 24 hours its pain, nothing but pain. It hurts to breathe, it hurts to sleep, it hurts to move from side to side, it hurts to eat.”
Clicking his fingers, he said, “Your life and not only just your life, your legs, something you need to move around and forward in life, can be taken from you like this.”
Lastly, he said “Stick together, make some money, make everything easier for our people out there, man because there is so much time that has been wasted.”