As an image of “business card exchange”.
In Japan, as a greeting by business, do “business card exchange” first.
But, in Westerners, it is common to see the other person’s eyes firmly, bring out hands, shake hands, greet (Good Morning, etc.), and introduce ourselves. (often watch Hollywood movies etc.)
Even if exchange business cards, it will be afterwards.
Also, among Westerners business cards are “just paper”, it is rare to handle politely like in Japan. There are also cases where business cards are used as memo paper.