If you're just needing a simple arrow, I'd just draw the whole thing including 
the arrowhead:

%start
simpleArrow =
  #'((lineto 3 0)
     (lineto 2 0.75)
     (lineto 3 0)
     (lineto 2 -0.75))

\markup {
  \path #0.25 #simpleArrow
}

%end


Or if you need something fancier, maybe you can find something in the LSR:
https://lsr.di.unimi.it/LSR/Search?q=arrow

I didn't really answer your question about the gap though, sorry about that

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