No you do not have sufficient data to make such a calculation.
In order to use $F=ma$ you need to be able to calculate net force $F$ and acceleration $a$. Here $m$ is the total mass of the vehicle. I presume that you also know the unladen mass of the vehicle, otherwise you cannot calculate the load.
You do not have any information with which to calculate the net force $F$ acting on the vehicle. Time spent over 90% torque max does not tell you what the torque actually was. Even if you knew the torque value at each instant, you need to know the gear ratio and wheel diameter to calculate the thrust acting on the vehicle from the road.
Also you do not know how this force combines directionally with the weight of the vehicle. You cannot tell if thrust and weight act in the same direction (eg going downhill) or the opposite direction (going uphill) or some intermediate case. As Jakob points out, you cannot distinguish between accelerating uphill with a small load or accelerating along a straight load with heavy load.
Acceleration measured along the track can be calculated from distance vs time or average speed vs time. However, $F=ma$ is a vector equation which means that $F$ and $a$ must be measured in the same direction. There is no indication from your data what the direction of the acceleration is - ie whether the track is a straight line or a curve, nor how the slope of the track relates to the direction of gravity. Motion with constant speed in a circle requires no acceleration along the curve/track, but there is centripetal acceleration perpendicular to the curve, which your data does not capture.