There are a variety of synonyms that can be used in place of "contact action." One option is "communication effort," which implies an attempt to connect with someone or convey a message. Another possibility is "interaction attempt," which suggests a desire to engage with another person or group. "Outreach initiative" is another suitable alternative, highlighting the proactive nature of the action and the intention to reach out to others. "Connection endeavor," "engagement effort," and "networking outreach" are other possibilities to consider. Ultimately, the choice of synonym will depend on the context and intended tone of the communication.