I imagine you could do that. It will be very random! Maybe you could deal 10 decks of 4 cards each face down and turn the first card of the deck. That way you could keep the same end game conditions.
They put a variant in the rulebook that is similar to that, but you mix only the cards with the same number(s). Then you deal decks of 4 cards face down and return the first card.
I think this is a better approach, since many of the dukes etc require certain types and it would throw off the balance doing what Paul suggests.
In any case I recommend you try the base game first, its way more fun than Machi Koro