やってきて

come over and

→ 遣る
phrase Rare #33,982
come over and The て-form of やってくる, meaning to come or arrive at a place, often with a sense of coming toward someone or somewhere.
JA: 友達が家にやってきて、一緒に夕食を食べた。
EN: A friend came over to my house, and we ate dinner together.

マルコファーソンの建設工事で、町には大勢の人がやってきていた。

A large crowd of people had come to town for the construction work at Marco Ferson.

ホーネッカーがオフィスにやってきて窓を開け太陽を見て言うどうした?

Honecker comes into the office, opens the window, looks at the sun, and says, “What’s going on?”

— 善き人のためのソナタ (2006)

日本人は、お盆の間先祖が自分達のところにやってきていると信じている。

Japanese people believe that their ancestors visit them during Obon.

その車がやってきて、

That car came along, and…

— ミスティック・リバー (2003)

彼女は私の側までやってきて私の名前を尋ねた。

She came over to me and asked my name.

“やってきて”

Come here.

— ほんとうのピノッキオ (2019)