Probably, if bond can send discrete speed commands to the fan, which from your screenshot it looks like it can.
I did something like this once with a pico and a Hampton bay fan controller. I used the button device feature in rule machine but if you’re on the most recent hub firmware, use the button controller app as it can handle conditional actions now (which used to be limited to the button controller within rule machine)
Buttons 1, 3 and 5 are straightforward, since they’re always going to be the same command. It’s 2 and 4 that need IF statements.
I don’t live in the same house anymore and that hub isn’t currently active, otherwise I’d just share a screenshot of the old rule.
But to increase the speed by one setting each time button 2 is pushed, the actions would be something like:
IF speed is low, THEN set speed to medium
ELSE IF speed is medium, THEN set speed to medium-high
ELSE IF speed is medium-high, then set speed to high
Edit: too slow, just look at @gassgs’s rule screenshot .