Yes, sorry.
I think you could try the following:
SELECT field1
, driver_quickest
, CASE WHEN driver_quickest>0 THEN 0 ELSE 1 END order1
FROM tab1
ORDER BY order1, driver_quickest ASC
Ordering by order1 will move 0's to the end, ordering by driver_quickest will order inside each group (inside the group where order1=0 and inside the group where order1=1).