Does silver like blaze?

Yes.They're both in love.

Well, it's unclear whether Silver and Blaze have ever love interests at all. But they like each other as friends and they get along very well. It's not even proven, if Blaze knows Silver, they're only friends in Sonic the Hedgehog (06) , but in other games, they seem to don't know about each other.
I just only know, that Silver and Blaze fought together in Sonic Colours with Silver against these Robots (well, fought is the wrong word, they just scared them ^^) and got along very well. They even said, that they would make a good team and Silver reveals, that he get the feeling, that they had met before. ;)
Well, that's not the point. Back to the "love".
I personally think, that Silver is kinda emotionally dependent on Blaze, because in Sonic the Hedgehog (06) he couldn't let Blaze leave him, he wanted her to stay with him, and Blaze is the first Person he calls and wants to see, when he's alone.
I also think he kinda admires her, because she's so calm and ready to fight with him against the evil. She is confident with her decisions and very mature.
I think, that the same thing goes for Blaze. She had a rough past and was teased because of her flames, but Silver accepted her and became friends with her. Blaze is certainly thankful for that. I think that she deeply cares for him, she knows how insecure he is when he is alone, so she wouldn't like to let him be alone. The fact, that Silver really is kinda naive, is the other reason why she's always with him to help him to take the right decisions or to cheer him up when he's upset.
In my opinion, it's the most likely pairing in the Sonic series, they're the first boy&girl team, who get always along well.
I don't know if I observed it right, but other boy&girl teams where kinda different. For example: Shadow seems to be sometimes annoyed of Rouge.
Sonic always runs away from Amy.
But Silver and Blaze weren't annoyed from each other, they fight together and they come along the best, I think.

And I personally think that this is one of the best couples from Sonic. Love which grows by friendship, and the way they care for each other, so kawaii x)

Well, that is my answer, sorry for my English, it's not my natural language .__.

Yes