I believe they will only do it to a certain extent. Â I recently inquired the same question but was told that it was not possible. Â The reason was that they would have to do trial patterns and the cost would be the same as the price of the shoe itself. Â The only way to get it would be through bespoke.
It is quite possible that EG these days, offering now fully bespoke shoes, is less forthcoming with special orders than they might have been a few years ago. Quite often the variations between styles is nothing more a different decoration. In the current EG catalogue the styles: "Fawsley", "Hythe" and "Rye" are all the same design (different decoration) and "Ladbroke", is the same design again, but sports a plain toe. "Malvern" and "Bealieu" are both the same pattern, one has brouging, the other one hasn't. Equally the two Cleverley design are the same shoe but differently decorated. Cleverley has two basic designs, to use knitwear terminology one crew- and one v-necked design. (The two shoes featured are the crew-neck variety.) I've seen once an EG shoe, whole cut, v-neck and side lacing, very similar to an Alpine "Haferlschuh" (what Cleverley calls Austrian shoe). It was a one-off, I don't know why it was done and for whom, for but that proves it can be done if there is a will. Whether they are willing to do it, I don't know. Just ask, they can't say more than No. Currently the London Polo store shows a side elastic shoe in crocodile (special orders only) which, I think, has a straight toe cap and leather strips over the elastic. (But I can be wrong, I would have to check it in the store to be certain.)