A simple answer would be NO. But yes you can achieve this by creating a BroadCastReceiver
which will start the Alarm while booting completes of the device.
Use <action android:name="android.intent.action.BOOT_COMPLETED" />
for trapping boot activity in BroadCastReceiver class.
You need to add above line in AndroidManifest.xml as follows,
<receiver android:name=".AutoStartUp" android:enabled="true" android:exported="false" android:permission="android.permission.RECEIVE_BOOT_COMPLETED">
<intent-filter>
<action android:name="android.intent.action.BOOT_COMPLETED" />
</intent-filter>
</receiver>