No, while the pushup and the bench press are very similar movements that tackle more or less the same muscles, they aren’t exactly the same.
If you weigh 200lbs, then in theory every time you do a pushup you are lifting 138lbs at the top of the lift and 150lbs at the bottom - but that doesn’t necessarily mean you can only bench press those weights.
This is because for the bench press you will be in a stabilized position on a bench, which should in theory make it easier to manage a heavier load.