Can Android Push Functionality Be Made As Good As IOS

how "push" works in my Android App. My phone "chimes" - (screen does not light up or anything).I've got to:

A) Push button to wake up phone
B) unlock phone
C) drag down notice area
D) Find the push message for my app
E) Tap on it
F) Finally - I'm at my App and it processes my message.

Here's how my App works under iOS:-

A) "Slide to unlock" (because the "push" already woke phone screen up)
B) I'm at my App instantly.

Can Android settings be adjusted, or push message parameters be changed, or an Android "service" be written, that could make the usage of my App upon receipt of an android "push" notice lots more simple? (e.g. to light up the phone screen if it's asleep, and to auto-open my app at the right token as soon at the device is unlocked after getting the push notice?)