Can we, in our best attempts, desire for a level of happiness above what an infinite God can provide us with in Heaven?
In our imagination we have constructed numbers larger than all the atoms in the universe, and larger than in any concievable universe.
Words such as bliss, the ineffable & sublime reflect different aspects of transcendence.
Though one can say that we may be mistaken in our intuitions and our intimations - the Descartian doubt - it is also our sensibility that at root makes sense of the world and of words. Doubt obstinately and analytically defiant leads to the realm of solipsism - a cul-de-sac of thought. Doubt of that kind is the intellect introspecting. Sensibility cannot doubt as its the ground of our being. Rather, with Heidegger one should have the world ready-at-hand; the world within and without. The sensual impact of the world without on our sensibility conditions our becoming as do the intimitations from the world within - they are at-hand.
The Good & the Beautiful - in their proper sense - and not as kitsch - as Plato knew it - is a reflection of the ineffable divine order in us.
In many religous traditions a correspondance is created between the divine realm and the human realm. Prometheus stole the fire of the gods - the divine spark - that illumines spirit.
Tagore, the Bengali poet & intellectual wrote:
Thous hast made me endless, such is thy pleasure. This frail
vessel thou emptiest again and again, and fillest ever with fresh life
This little flute of a reed thou hast carried over hills and dales,
Thy infinite gifts come to me only on these small hands of mine
Ages pass, and still thy pourest, and still there is room to fill.
Tagore reflects on the possibility of infinite feeling and transcendence. In (one aspect) of the Hindu tradition one dissolves into the god-head (Brahman). In this poetic fragment he's using an image that opens Rumis Masnavi, the sufi Islamic treatise and acknowledging an affinity between these two very different traditions at some level.
So, yes; because the imagination and sensibility is more capacious than we can say. Wittgenstein made a distinction between show & say. We know much more than can be said. We have seen much more than can be said - and I do not mean here by this the instrumental power of the eye - take it, perhaps as the eye of the imagination - which identifies both inner & outer forms of sensibility. Then what is revealed to us - cannot be said - but it has been shown.
As to whether, we can imagine a greater joy/bliss/desire - I'm not sure that the logical nature of greater obtains in such discourse as this. Its the existence of intimations of such that I'm answering here.
If you have Jesus in your Heart, then you have the Holy Spirit, which a fruit comprises of joy. Galatians 5:22 - 5:23
When you constantly communicate with God in your head & spirit, You achieve complete happiness. Similar to the effects of the drug "ecstasy" (MDMA).
According to being happier than you will be in Heaven, I would have to say no.