In short No, NAV is a real pig when it comes to living with another AV. So much so that if you install avast on the same system as NAV avast will often disable elements to avoid a conflict and possible system lock-up.
Even the remnants of an uninstalled NAV, registry keys, drivers, etc. could be see by avast and avast may still disable elements. So even with NAV disabled but not uninstalled could cause conflict as you can't disable the legacy keys and drivers, etc.
There are many happy avast users on these forums who are ex NAV users.
You could use one of the many on-line scanners if you pause NAV. On-line Virus Scanners and other useful Links
Security-Ops.eu.ttYou could also use an on-line scanner to confirm, established connection to the on-line scanner of your choice and just before you do the scan, pause your AV, enable after completion.