Depends on the circumstances. Probably not the case with a jet like a 787, but sometimes ATC will allow small planes to 'cut the line' with an intersection takeoff.
This runway was over 2 miles long. If you are in a smaller commuter prop plane or small jet, you don't need half that space for the takeoff. You call up ATC and they give you the option of taking off at an intersection now, or being #15 in line behind the heavies, its totally fine to do that if you are within the operating margins of the aircraft. The pilots have already done the math to know exactly how long of a runway they need for the worst case scenario (rejected takeoff just below V1), so if they know that they need 5k feet worst case scenario, and are offered an intersection takeoff with 7k feet of an 11k foot runway, there is already pretty big margin built in.
The thing to remember is that the aviation community and manufacturers have decided that once a jet is past a certain speed, you are committed to taking off and climbing out no matter what is going on. There is no circumstance where airliners will go beyond that speed and then try to reject the takeoff, and land back on that same runway.
As far as fuel, you might be distressed to know that you rarely fly with full tanks. They typically fly with the amount of fuel their route uses for the load they have + a margin for diversion. This is both a cost savings measure, as well as an operational concern (for example at Denver during a hot summer day, a lot of planes can't be loaded to maximum weight and still be able to do a rejected takeoff)
This runway was over 2 miles long. If you are in a smaller commuter prop plane or small jet, you don't need half that space for the takeoff. You call up ATC and they give you the option of taking off at an intersection now, or being #15 in line behind the heavies, its totally fine to do that if you are within the operating margins of the aircraft. The pilots have already done the math to know exactly how long of a runway they need for the worst case scenario (rejected takeoff just below V1), so if they know that they need 5k feet worst case scenario, and are offered an intersection takeoff with 7k feet of an 11k foot runway, there is already pretty big margin built in.
The thing to remember is that the aviation community and manufacturers have decided that once a jet is past a certain speed, you are committed to taking off and climbing out no matter what is going on. There is no circumstance where airliners will go beyond that speed and then try to reject the takeoff, and land back on that same runway.
As far as fuel, you might be distressed to know that you rarely fly with full tanks. They typically fly with the amount of fuel their route uses for the load they have + a margin for diversion. This is both a cost savings measure, as well as an operational concern (for example at Denver during a hot summer day, a lot of planes can't be loaded to maximum weight and still be able to do a rejected takeoff)