I doubt it would quite be Chaucer style middle English, though if you try that’s quite readable and understandable to modern English speakers.

Whan that Aprille with his shoures soote,
The droghte of March hath perced to the roote,
And bathed every veyne in swich licóur
Of which vertú engendred is the flour;

About the only hard parts are soote for sweet, and the last line pretty much saying the rain’s power begets flowers.

I particularly like

And smale foweles maken melodye,
That slepen al the nyght with open ye,