Can two objects of different masses have the same acceleration and speed?

Yes

Explanation:

It's like when you drop two different masses out of a window, to example a bag and a soda bottle, they both will hit the ground at the same time as long as there isn't a huge difference in resistance like paper and a brick, those would not hit at the same time. Or to be simpler, a truck and a minivan are different masses but both can have the same acceleration and speed.