You really have to pulp fruit before you can press it.
Even the huge commercial presses use crushed fruit, you can tread it, whack it with a mallet or use the blender.
But it does have to be crushed.
For small amounts you can ferment on the fruit to soften it, freezing and thawing apples also works really well
In the picture I'm using the crusher with blades that really chops the fruit to bits, even then it's better if you chop the apples in half.
For grapes and soft fruit you'll want the crusher with no blades.
We also have the pulpmaster a cheap but very useful type of crusher for small amounts