Yes, but not the way you do it.
Remember that starting Honeycomb the default execution model of AsyncTasks is serial:
new AsyncTask<Void, Void, Void>() {
....
....
}.execute(); <------ serial execution
Instead use a thread pool executor:
new AsyncTask<Void, Void, Void>() {
....
....
}.executeOnExecutor(AsyncTask.THREAD_POOL_EXECUTOR, null); <------ parallel execution