No.
And you shouldn't have to push on the screen that hard to get screen touch to work.
By any chance are you an older person?
My mom, since her early to mid 60's and now into her 70's, has lost quite a bit of electrical conductivity in her fingertips and needs to use a common capacitive stylus with her iPads almost exclusively, now.
You could try using a common capacitive stylus to see if this improves the touch activation/sensitivity on the iPad’s screen.
If this isn’t your issue, and your iPad’s screen is that hard to touch activate, I would bring it into your nearest, “local” Apple Store for diagnosis, evaluation and possible options to you.
Good Luck to You!