Hello,
No. Browser Protection could not have an impact on Chrome.
Correct, There is no Browser Protection plugin for Chrome. http://www.symantec.com/docs/TECH174537
Browser Intrusion Prevention System (Browser IPS) is a new advanced protection feature included with the SEP 12.1 client. This technology works in conjunction with, but is separate from the Client Intrusion Detection System (CIDS) used by the client firewall-based IPS engine in SEP.
Browser IPS intercepts VBScript, JavaScript and ActiveX calls running in the browser as they are executed, inspecting the parameters of these calls for exploits to vulnerabilities. This allows the Browser IPS engine to detect exploit code which would otherwise have been hidden or obfuscated from other detection methods -including the CIDS engine.
Reference: http://www.symantec.com/docs/TECH172174
The Intrusion Prevention policy includes browser intrusion prevention, which uses IPS signatures to detect the attacks that are directed at browser vulnerabilities.
See Enabling or disabling network intrusion prevention or browser intrusion prevention.
Also, check How Symantec Endpoint Protection protection features work together
http://www.symantec.com/docs/HOWTO55268
Hope that helps!!!