Yes, you probably can achieve the desired result, though not the way you described. Some bikes come with the standard levers, as shown in your first photo, PLUS additional levers that run parallel to the crossbar of the handlebars, exactly where you want them. Perhaps interrupter lever is another name for them, but extension levers is what I know them as.
Though not always the case, many, if not most, good quality brake systems can be modified by adding the extension levers as an aftermarket modification. Good systems use screws to hold the levers in place, so that they are replaceable. Those are easy to add extensions to.
If yours have rubber hoods on them, as in the photo, the modification includes punching a hole through those, so that the extension can be bolted on. If you bought your bike from a good bike shop, they should be able to do it for you in less than an hour, unless yours are not suitable for modification.
If, for whatever reason, you can't/don't want to do that, you can replace the entire lever system with one that already has the extensions, like this one; https://www.amazon.com/gp/product/B00LIFBEGA/ref=s9_acsd_zwish_hd_bw_bEf0F_c_x_w?pf_rd_m=ATVPDKIKX0DER&pf_rd_s=merchandised-search-11&pf_rd_r=Y4C1DVZ2RBB2KN05YXVY&pf_rd_t=101&pf_rd_p=35be4e2e-4268-5a73-9f8b-dcbcdf18a280&pf_rd_i=3494211