Is it possible to upgrade the Java version shipped with OpenEdge?

Yes, it is possible to upgrade Java version shipped with OpenEdge, but it should be within the supported JDK version.
Refer to the Product Availability and Life Cycle Guide for more details: 

• Where is the OpenEdge Product Availability and Life Cycle Guide?

For example:

• OpenEdge 11.3 is shipped with JDK 1.7.0_02. It is possible to upgrade to 1.7.0_20 or 1.7.2, but not to JDK 1.8 or newer updates.
• OpenEdge 11.6, is still shipped with Java 1.7, however Java 8 Runtime is supported on all OpenEdge 11.6 supported.
• OpenEdge 11.7, is shipped with Java 1.8. It is possible to upgrade to JAVA8_SR6_FP20 or even OpenJDK 8u302 for example but not Java 9, 10, 11
• OpenEdge 12.0, is shipped with Java 1.8
• OpenEdge 12.1 and later are no longer ship with Java, the supported JDK version must be pre-installed and can be upgraded to later minor releases OpenJDK 11.0.13

 

Progress Articles:

• What is the required JVM version for OpenEdge 10.2B 64-bit?
• What version of Java is being supplied with OpenEdge 11.3?  
• What version of JDK is shipped with OE 11.4 11.5 11.6  
• Has OpenEdge been certified with Java 1.8 ?   
• How to change the Java version for an OpenEdge installation on Windows   
• How to change JDK/JRE version on UNIX