Well of course it's possible.
First we have the following information:
According to the standard equation:
It is possible to accelerate to that speed, in fact, it would take the same amount of time as specified above.
Now, we know the change in velocity was 114 so we have another standard equation:
It's similar to the speed formula, but it is changed around for acceleration:
That is the acceleration you must have in order to attain the velocity in the time allotted over the distance allotted.