is it possible to query with a logical OR in django

To query with a logical OR, you need to use the Q objects:

from django.db import models
Organization.objects.filter(models.Q(members=me) | models.Q(founder=me))

from django.db.models import Q
Organization.objects.filter(Q(members='me') | Q(founder='me'))

Use Q objects. That will help you with what you are after.