✔ 最佳答案
It is possible.
The sign fixed to the acceleration indicates its direction. Speed is a scalar quantity that has no direction.
In that sense, an object moving in the -x direction under an acceleration would have a -ve acceleration whereas its speed is increasing.
A more conrete example is a pendulum bob (assume its rest position is at the origin) swinging about the origin. The motion of the bob from the extreme right back to the origin would have a -ve acceleration but with speed increasing.