H-1B visa transfer from X to Y company even from India

[1 Visa stamped last year 2013

[b][2] [/b]I never used this visa i.e. I didn’t enter US before with this visa.

[b][3] [/b]Can I transfer current H-1B petition to some other company say [b]“Y” [/b]even from India.

[b][4] [/b]Will Customs and Border Protection (CBP) [b]say it’s illegal [/b]that yours H-1B visa on passport bearing [b]“X” [/b]company and you have come on [b]“Y” [/b]company.

[b][5] [/b]Shall I go for stamping again with [b]"Y" [/b]company.