Hello Daisuke,
You can use the Gap_UpdateConnectionParameters() API from the peripheral to issue a Connection Parameter Update Request, but it will depend on the master if it will accept or reject the request.
Example:
Gap_UpdateConnectionParameters(mPeerDeviceId, gGapDefaultMinConnectionInterval_d , gGapDefaultMaxConnectionInterval_d, gGapDefaultConnectionLatency_d, gGapDefaultSupervisionTimeout_d, gGapConnEventLengthMin_d, gGapConnEventLengthMax_d);
Regards,