crack the door OED definition and an example use:
1964 Spectator 14 Feb. 205 Mr. Kennedy..made it his practice..to
leave the door to his office cracked a little so that any personal
assistant who felt the need to talk to him might walk right in.
definition:
trans and intrans. Of a door: to be slightly ajar; to leave slightly
ajar. Cf. crack n. 7d. Chiefly U.S.
Here is another figurative use:
The door cracked open for the Dodgers in the seventh inning Friday
when Sean Doolittle, not Stephen Strasburg, appeared on the mound at
Dodger Stadium. Los Angeles TimesOct 4, 2019