There's no reason a good chrome shop couldn't plate it. It might be a little pricey, but it can be done. I think you might be disappointed with the results though. To look good, your parts have to be arrow straight and no imperfections. That's not easy to do with the thin aluminum that was used.
An alternative is to buff the aluminum to a nice bright shine. It's not quite chrome, but it would look good. You'd have to strip the anodizing and then buff. Stripping the anodize is easy. Easy off oven cleaner will take care of that. Buffing can be done with a little investment in equipment and some time. I use a buffer from Harbor Fright. You can buy a starter kit from Eastwood for the buffs and compounds. The downside is you have to maintain the shine as the anodized coating is gone. I think it's a little brighter without the anodizing myself. This is your cheapest alternative and what I would do. Some folks will have it clear powdercoated, but I've never had tried that myself. I'm a bit skeptical about it, but some swear by it.
Another alternative is to have a good shop (emphasis on good) do "bright dip" anodizing. They will dip the grille in a chemical polishing solution and then do a hard anodize coating. The issue is that the shops that do this are set up to do production and not really good for one or two pieces. This is how it was finished originally. You'll have to look for a shop that specializes in this type of restoration to be sure it's done right. Anodizing is much cheaper than chroming, but a restoration shop is still not going to be cheap.