This answer was based on the initial question before edits, and was taken to mean jumping over the stairs and landing
Just don't jump stairs and your bike will be fine.
It's far more technique and ability, instead of what model of bike you've got.
If you're going to do this anyway, start small. Practice away from other people. I suggest you try jumping cracks or chalk lines on the footpath/pavement. This provides a safe landing even when you fall short.
Then work up to small pebbles and rocks on the concrete. Your aim is to clear them with both wheels. If you can't get this down, then stairs are right out. Upgrade to a brick if you want a challenge.
Once you can get your bike up and across something, move up to a drop. A simple kerb/curb is a good start.
Here's a visual representation of what you have to be capable of, to jump 10 steps. (I have used 10 because it fits in the image better)
Note bike is to scale based on step height and 700c/29" wheels.
Assuming these are standard-sized steps then they have a height of around 20 cm and a depth of around 25 cm. Outdoor steps have more variance with deeper ornamental ones, but generally they all have very similar heights.
So you need to get your bike in the air at the top step, and travel a total of 2.5 metres for 10 steps or 3.75 metres for 15 steps before touching the ground again. And if you fall short you'll land on the steps themselves and then you're stuffed.
You need to have enough forward velocity so that your airtime is enough to carry you across X gap without touching the ground. Don't think that height Y is going to make up for a short X - it doesn't work like that.
Finally you also need to be able to control the bike as it drops from a height of Y onto solid ground. This is harder to practice, but try rolling up sideways on top of a kerb and track standing, then jump sideways. The bigger the landing the easier it is to break yourself and your bike.
Other thoughts
You will find that clipless pedals or toeclips may make it easier, because they will hold the bike to your feet when not on the ground.
Safety factors
Check your bike frequently. This hard abuse is likely to bust spokes, untrue wheels, crack frames, and loosen bolts. Any hard landings are bad for a bike. Triply-so if you biff it (or "screw up the landing")
Keep clear of people while practicing, but also don't do this kind of thing alone. Have a practice buddy who can assist if you do come to grief.
Just wear a helmet. Even Evel Knievel wore one.

Final Say
I wouldn't do this. I recommend you don't either.