What do you mean by trigger Test Executions? Do you mean change executions status in Xray?
If so, it is possible using GraphQL API (https://docs.getxray.app/display/XRAYCLOUD/GraphQL+API) and the mutation UpdateTestRunStatus (https://xray.cloud.xpand-it.com/doc/graphql/updatetestrunstatus.doc.html).
If you need additional help, please contact the Xray Support (http://xraysupport.xpand-it.com ) so that we can request additional information and help further.
Rogério Paiva [Xray Support Team]