can a pudding containing this much eggs be cooked on the stove instead?

don't have any pan's that can fit for the recipe.
and so i was wondering if i could just cook it on the stove the same way i do with oatmeal or custard.

here's the recipe. let me know if it's possible ;

((COFFEE PUDDING))

INGREDIENTS;

* 5-ounce brewed strong coffee
* 3/4 cup granulated sugar
* 4 large whole eggs
* 1 pint reduced fat milk
* Pinch of salt.
* Two baking pans, one larger than the other

Step 1
In a saucepan, bring milk to a boil then leave it to cool. Beat four whole eggs and 5-ounce granular sugar together, add coffee then the milk and salt.

Step 2
Strain mixture into a smaller baking pan of the two. Place this filled baking pan in the larger baking pan. Fill the large pan with boiling water half way up.

Step 3
Bake in a 325 degrees F oven until mixture is firm and set; check frequently. Remove from heat and let cool for a few minutes. Divide into individual portions then spoon in cups/mugs or bowls.

THANKS. =D
 
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