I am using HP 2920-24G switch. In that,I am trying to build the setup for CHEF Client. But it shows error while bootstrapping. Is that HP switch supports CHEF or not?
Chef is not incompatible with any specific kind of networking hardware. The fact you are using a particular kind of HP switch is highly unlikely to be the cause of your problems.
However, if your network is not configured properly (for your purposes) then it could prevent Chef from talking to other machines that it needs to in order to bootstrap.
You probably need to talk to your local network administrator about this. It may be that your network or your computer is not set up correctly ... or that there is a firewall interfering with the Chef bootstrapping.
UPDATE - I misinterpreted the question as you wanting to install / use Chef on a machine connected to the net via an HP switch.
Turns out that you actually wanted to use Chef to configure the switch.
That might be theoretically possible if the switches OS was one of the platforms that Chef supports. But apparently it isn't. (Here are the platform families that Chef supports.)
And even if it was theoretically possible, I think that installing Chef and letting it loose on the switch configs would be a really bad idea. As in "invalidates the warranty and might turn the switch into an expensive brick" kind of bad idea.