jump the queue

jump the queue {UK}(to go to the front of a queue unfairly and not wait for your turn) — получить что-либо без очереди; пройти / влезть без очереди; обойти очередь

Example: Those two men jumped the queue. It wasn't their turn to pay for the tickets yet. (kantalk.com)

cut in line {US} (to enter a line ahead of other people, move in front of someone waiting in line) — пройти / влезть / лезть без очереди; обойти очередь
cut the line

Example 1: Excuse me, I’m really late. Can I cut in line, please? — Простите, я очень опаздываю. Можно мне пройти без очереди?

Example 2: I hate it when people cut in line at the bank. — Терпеть не могу, когда в банке лезут без очереди.

Example 3: I think it’s okay when a pregnant woman cuts in line.

Example 4: Hey man, the end of the line is over there. No seriously, I was here first, and you can’t cut in line like this.

join the line {US} / join the queue {UK} — стать в очередь, занять очередь

Example: Beyond the store was a bank with an ATM and three people waiting to use it. She joined the line. By the time it was her turn, she’d already taken a good look at everyone standing nearby and spotted no thieves ready to swoop in. (The Mephisto Club)

stand in line (wait in line) — стоять в очереди
form a queue {UK} (to get in line) — становиться в очередь

See also
[кто последний?]