Can I run an emulator without HAXM in Android Studio?

Check your processor if its is Arm.download system image for arm in sdk manager

The Android emulator is independent from Android Studio and Eclipse.

HAXM is Intel's virtualization extension for Android Emulator on x86. You can use an emulator with the ARM image instead of HAXM provided that you installed it in the SDK manager.

Check your SDK manager to see if you have an ARM image instead for the API level you want, then go to the AVD manager and make a virtual device using ARM as the cpu.