Raw street style
If you can bunny hop properly, jumping up a few steps is straight forward.

Not so smooth....
Make it simple, start at a low speed...A crash on that wall wouldn't look good.
1° Stop pedaling and flex to prepare for extension. Start lifting the front wheel while pushing on the rear wheel (see the flat tyre). 2° Full explosive extension, in one jump impulsion on the pedals at the highest position, takes off the rear tyre from the ground. 3° As soon as the back wheel takes off, fold back, pulling on the handlebars upward while lifting the knees. That is what brings the bike up.
See the move in a video

video
Landing on a beam
Risky Business?
This approach is not very safe for higher obstacles, as the front wheel can accidentally bang on the upper edge of the wall, stopping you straight, or sending you over the bars if you go fast enough. You also need enough flat space to accelerate. If you have a 'last second' problem lifting the front wheel, you're up for a nasty crash. Also, this move is very energy consuming, you literally jump and then try to pull the bike with you. But on the other hand, it can be very classy if you can land sharp directly on the back wheel.
video
Impressive bunny hop technique from Kenny

Start on smallish kerbs before you consider breaking your bones on higher stuff. Or use another technique. The next technique is to roll over the obstacle. Quite safe, this is a true trials technique and it requires very little run-up space (one pedal stroke). And it is a much smoother move, as you don't need to pull like mad on the handlebars. You don't land on the rear wheel but it's more like rolling up and stopping once on the obstacle.