There has never been a supersonic passenger aircraft built with modern turbofan engines.
Test pilots have reported that a Gulfstream G550 airframe can handle supersonic flight, and the BR710 turbofan engines can handle it. The limit is the engine intake design.
With an optimized intake, its entirely possible the fuel consumption at M2.2 would be comparable to ~M0.98
that is one of the major issues here. Modern turbofans on large passenger planes like 787, 380, etc... are that efficient in major part because of high by-pass ratio. Which is not really an option for 2Mach+ speed.
As somebody mentioned, more comfortable 0.85Mach flight would be preferable in many situations to uncomfortable and very expensive 2Mach. If i were starting something like this i'd go straight for suborbital SFO to Singapore in under couple hours. Technology-level wise not that different, money is no issue in that segment (Branson's $200K is not that far from super-premium-business class for your priceless CEO) and there is always large money-no-issue fallback customer - military.
Transonic (approximately Mach 0.80 - 1.2) flight uses significantly more fuel than subsonic flight does. Business jets like the Gulfstream G550 burn more fuel at M0.9 than regional Boeing 717(MD-95) at M0.75 with 4 times more passengers.
The F-22 Raptor can supercruise at M1.6, with half the range compared to cruise at M0.85 similar to other fighters.
If Boom can optimize an aircraft for supersonic transport it would still be expensive to operate. For comparison, no US operator has all business class scheduled flights from LA-NY, and British Airways flies their all business class NY-London flights in an VIP A320 series jet that cruises at M0.7 which is slower than most airliners on the route.