Sure thing! But you have to work to get it there...
Basically you need to use a custom logger definition such as:
<appender name="file" class="org.apache.log4j.DailyRollingFileAppender">
<param name="file" value="log/volt.log">
<param name="DatePattern" value="'.'yyyy-MM-dd">
<layout class="[b][b]org.apache.log4j.EnhancedPatternLayout[/b][/b]">
<param name="ConversionPattern" value="[b][b]%d{ISO8601}{GMT-5}[/b][/b] %-5p [%t] %c: %m%n">
</layout>
</appender>
You need to override the portal's logging using either a webapps/ROOT/WEB-INF/classes/META-INF/portal-log4j-ext.xml file (to change Liferay's core loggers), but with Liferay 7 there are additional ways to update module logging if you only need logs from a specific module to be formatted differently.
