I got a little confused working with your example so I tried to come up with a more intuitive example.
You need to set the min and max for the bar sections manually before plotting. I plotted here with geom_segment, but you could probably use geom_rect as well.
library(tidyverse)
inventory <-
tibble::tribble(
~month, ~store, ~item, ~stock_count,
"May", "store A", "bananas", 30L,
"May", "store A", "oranges", 10L,
"May", "store A", "mangoes", 10L,
"May", "store A", "kiwis", 4L,
"May", "store B", "bananas", 15L,
"May", "store B", "oranges", 5L,
"May", "store B", "mangoes", 50L,
"May", "store B", "kiwis", 2L,
"June", "store A", "bananas", 30L,
"June", "store A", "oranges", 10L,
"June", "store A", "mangoes", 10L,
"June", "store A", "kiwis", 4L,
"June", "store B", "bananas", 15L,
"June", "store B", "oranges", 5L,
"June", "store B", "mangoes", 50L,
"June", "store B", "kiwis", 2L
)
fruit_colors <- c("bananas" = "yellow2",
"oranges" = "orange2",
"mangoes" = "indianred3",
"kiwis" = "yellowgreen")
inventory %>%
group_by(month, store) %>%
arrange(-stock_count, .by_group = T) %>%
mutate(ymax = cumsum(stock_count),
ymin = lag(ymax, default = 0)) %>%
ungroup() %>%
ggplot() +
geom_segment(aes(y = ymin,
yend = ymax,
x = store,
xend = store,
color = item),
size = 10) +
scale_color_manual(values = fruit_colors) +
facet_wrap(~month)

Created on 2021-10-22 by the reprex package (v2.0.1)