Tika Server only has Server status (/status and it's MBean).
The MBean, in conjunction with JMX exporter can be used for Prometheus exporting. But it will be oblivious to details, such as time taken to process a request and so on.
The metrics data can be exported to most of industry standard monitoring tools format (such as Prometheus/Grafana, Gangila etc).
Prometheus and JMX metrics can be implemented with core metrics collection.
Choice metrics reporting and nature of metrics can be configured by user.