A Falcon 9 caries just a bit more fuel than a fully loaded 777. Which is big, to be sure, but still a drop in the bucket just in terms of transportation.
And the oxidizer to fuel ratio is 2.5, so basically this doubles the impact.
(And let's not get started on the rest of energy intensive things involved in space launch).
Yes, space launch isn't ridiculously energy intensive, but it does put the 777 to shame.
The big difference, I guess, is that a Falcon 9 might only make it through 10 or 20 flights while a 777 might do thousands. That is a big difference in energy usage but I don't feel competent to try to quantify it.
Second rockets reach higher parts of the atmosphere and the impact is higher compared to the lower flying planes.