Hello Jacques,

Yes, this is possible. It’s just that Lilypond thinks that a slur of that 
shape would not look good in that place. You can change the scoring parameters 
Lilypond uses for determining how ugly a slur looks.

For example you can increase Slur.details.edge-attraction-factor to increase 
the penalty for edge points that are very far away from the anchor points. 
Note that this results in a rather ugly shape, so you’ll have to tweak other 
parameters of the slur.

I suggest using the height-limit property (determines how high the slur might 
be), the ratio property (determines how quickly that height is reached) and 
eccentricity (moves the highest point to left or to the right).

I’ve appended an example of values that might look good for your example.

Regards,
Valentin
\version "2.22"

\new PianoStaff <<

  \new Staff = "right" {
    \once\override Slur.details.edge-attraction-factor = #1000
    \once\override Slur.eccentricity = #-3.5
    \once\override Slur.height-limit = #7
    \once\override Slur.ratio = #0.15
    e'''2 (
    \change Staff = "left"
    
    a,,4 ) % this slur does not end in the second stave
    \change Staff = "right"
    
    b''8 r |
  }
  
  \new Staff = "left" {
    \clef bass
    s1
  }
  
>>

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