As @e4c5 mentioned cache is used for fast stuff, you should be using redis for the same. But since your question is about database I would answer the same.
There is no existing function to do this in Django. But then best part of python is you can easily monkey path to add new functionality. Below is a test request I created
def index(request):
cache.set("name", "tarun")
cache.set("name_1", "tarun")
cache.set("name2", "tarun")
cache.set("name_4", "tarun")
cache.set("nam", "tarun")
cache.clear(prefix="name")
nam = cache.get("nam")
name_4 = cache.get("name_4", default="deleted")
return HttpResponse("Hello, world. nam={nam}, name_4={name_4}".format(nam=nam, name_4=name_4))

To get the prefix
functionality you need to add below patch code in some place. I used settings.py
as such
original_clear = None
def patch_clear():
from django.db import connections, router
from django.core.cache.backends.db import DatabaseCache
def __clear(self, prefix=None, version=None):
db = router.db_for_write(self.cache_model_class)
connection = connections[db]
table = connection.ops.quote_name(self._table)
with connection.cursor() as cursor:
if prefix is None:
cursor.execute('DELETE FROM %s ' % table)
else:
prefix = self.make_key(prefix, version)
cursor.execute("DELETE FROM %s where cache_key like '%s%%'" % (table, prefix))
global original_clear
original_clear = DatabaseCache.clear
DatabaseCache.clear = __clear
patch_clear()