Can I have a Django form without Model

Yes. This is very much possible. You can read up on Form objects. It would be the same way you would treat a ModelForm, except that you are not bound by the model, and you have to explicitly declare all the form attributes.

def form_handle(request):
    form = MyForm()
    if request.method=='POST':
        form = MyForm(request.POST)
        if form.is_valid():
            cd = form.cleaned_data
            #now in the object cd, you have the form as a dictionary.
            a = cd.get('a')

    #blah blah encode parameters for a url blah blah 
    #and make another post request
    #edit : added ": "  after    if request.method=='POST'

and

class MyForm(forms.Form): #Note that it is not inheriting from forms.ModelForm
    a = forms.CharField(max_length=20)
    #All my attributes here

In the template:

<form action="{% url form_handle %}" method="POST">{% csrf_token %}
    {{form.as_p}}
    <button type="submit">Submit</button>
</form>