Yes it is possible to directly update from 4.13* to 4.15* version assuming you are not running on TomEE based installation, If you are not sure about the TomEE installation, then you can download the fresh installation of KNIME Server 4.15.2 version using the following link.
With the release of KNIME Server 4.13.0, we discontinue support for TomEE based installations. It is not possible to upgrade a TomEE based KNIME Server to version 4.13.0 or higher. Instead, a fresh installation has to be performed.
I hope this answers your question, let us know if there are any further queries.