No, a thunderbolt is a dictionary term for one. Also, the two terms are separate - one refers to a new technology for transferring data and the other refers to a cell phone product name. You'll also notice both say "TM" in reference to a trademark, BUT neither has the telltale circled "R" which refers to a registered trademark (anyone can put a TM for a company trademark, but only a trademark registered with the US Patent and Trademark Office can use the circled "R") - odds are they are both pending formal federal registration since both should be well aware of intellectual property laws effecting their respective businesses. If you've ever gone to nissan.com to find a car, you find an interesting and long-standing trademark infringement case and a computer company called Nissan Computer Corp.
Since cell phones are here today and gone tomorrow, it's not likely to be an issue, but Intel and HTC can fight it out if they want to. Also, "Firewire" and "iLink" (Apple and Sony, respectively) both refer to the same 1394 technology as I'm sure Thunderbolt refers to a technology that someone else will give their own name for the same thing likely designed to compete with the faltering USB 3.0 which doesn't seem to have taken off like it was supposed to and eSATA. Since there are hardly any peripherals for it yet and it has only been recently announced, I'm pretty sure people won't be going around asking for a cell phone when they mean Intel's new connector or vice versa.