The web application we develop uses three Java Applets.
We know that Chrome 45 will drop NPAPI support. In this page, Oracle says that Java Plugin relies on NPAPI.>
Oracle has an FAQ for that:
"The Java plug-in for web browsers relies on the cross platform plugin architecture NPAPI, which has long been, and currently is, supported by all major web browsers. Google announced in September 2013 plans to remove NPAPI support from Chrome by "the end of 2014", thus effectively dropping support for Silverlight, Java, Facebook Video and other similar NPAPI based plugins. Recently, Google has revised their plans and now state that they plan to completely remove NPAPI by late 2015. As it is unclear if these dates will be further extended or not, we strongly recommend Java users consider alternatives to Chrome as soon as possible. Instead, we recommend Firefox, Internet Explorer and Safari as longer-term options."
So to answer your question: No.