You should absolutely be able to closely or exactly replicate this yourself if you have a router, possibly with some careful scraping or sanding to refine results1. You'll need a router 'table' but it doesn't have to be a formal router table, the most basic stand-in will work fine if you're careful.
But if you don't trust your online shopping skills you'll need to do some boots-on-the-ground shopping to identify the bit or bits available to you that will be needed to closely match this profile if its dimensions are unusual (can't tell from the photo).
It is quite possible you'll find one bit (a Roman ogee bit) that will be a close match by itself, which would then need no or minimal scraping/sanding to refine the profile. But no way to know in advance, so I'd suggest you go in preparing to have to route the profile in stages with 2-3 bits2.
Some notes on a few possibly not-obvious points that may be helpful.
Your starting blank must be the right size, including exactly to thickness after the front is fully sanded before you start.
Time spent looking for a good grain match to the existing drawers (or just the one drawer that will be closest to the new one) will not be wasted3.
Remember to route the end-grain surfaces first.
Now obviously the prospect of it possibly requiring 2-3 bits raises the question: will it be worth it? This is obviously partially a judgement call for you to make, but purely on a monetary basis it's possible that if there are any local woodworkers or small shops that do kitchen work in solid wood that they could knock one of these out, using their existing wide selection of router bits, for a very modest price. Honestly, I'd expect it to cost less than the bits if you buy decent bits and are paying full retail4.
Then all you have to do is face the prospect of getting a colour and finish match :-o
Late thought, it would probably be useful to ask for help on this on a dedicated router forum where you'll get responses from a large pool of members which includes numerous professionals and semi-professionals, some of whom I'd bet are used to solving this sort of problem.
1 It's normal to have to scrape or sand routed show surfaces anyway, so this is just an extension of what you'll be doing anyway. Even if the sanding needed is more than you'd really want to do remind yourself you only have to do it this one time. Just go to it and you'll be done before you know it.
2 E.g. a shallow ogee bit and a straight bit.
3 If we assume this is red oak, you'll probably be tempted to look only at red oak but be driven by the grain you can see and not by species, or colour. What I'm getting as is you might find a piece of white oak that more closely matches than any of the red you see when you're buying. Since you'll be staining and/or using a coloured finish some variation between the colour of your board and the underlying wood of the existing fronts won't matter that much.
4 But if you buy the bits you have the bits, with their potential for future use....