This question is similar to that one, although it is LateX/RNW based. Besides, this answer demonstrates how to generate a rmarkdown document dynamically. However, neither of the questions is a exact duplicate of this one.
Basically, there are two mental steps to take:
- Figure out the markdown markup needed per section. This could be something along the lines of - ## This is section <section_name>
Section data is `<section_data>`.
Additional section text is: <section_text>.
 
- Write R code that generates this markup, replacing the placeholders with the appropriate values. 
For step 2, using sprintf is a natural candidate to combine static and dynamic text. Don't forget to use the chunk options results = "asis" to prevent knitr from adding formatting to your output and use cat (instead of print) to prevent R from adding additional stuff like quotes and element numbers. 
I changed the input data structure a little bit for the sake of clarity (using a data.frame instead of independent vectors section_names and section_data).
```{r echo = FALSE, results = "asis"}
input <- data.frame(
  name = LETTERS[1:4],
  data = runif(n = 4),
  text = replicate(4, paste(sample(x = LETTERS, size = 100, replace = TRUE), collapse = "")),
  stringsAsFactors = FALSE)
template <- "## This is section %s
Section data is `%0.2f`.
Additional section text is: %s.
" # dont't forget the newline
for (i in seq(nrow(input))) {
  current <- input[i, ]
  cat(sprintf(template, current$name, current$data, current$text))
}
```
Output:
This is section A
Section data is 0.83.
  Additional section text is: PUFTZQFCYJFNENMAAUDPTWIKLBSVKWMJWODFHSPRJRROTVDGNEROBVQPLLMVNPOUUHGVGRPMKAOAOMVYXKMGMUHNYWZGPRAWPYLU.
This is section B
Section data is 0.49.
  Additional section text is: PFTYCGFSGSMAYSSCZXWLNLDOQEBJYEVSJIYDJPEPSWQBNWJVRUKBTYIUSTOICFKJFEJCWCAYBCQSRTXUDEQLLXCZNPUKNLJIQJXE.
This is section C
Section data is 0.58.
  Additional section text is: FCJDDDMNLBUSJMCZVSBPYWCKSFJEARBXXFPAGBTKCWKHPEDGYWYTNGLVGQGJAFZRUMNSDCHKTTMGRFNSUZKFLOUGNWHUBNLVMGDB.
This is section D
Section data is 0.52.
  Additional section text is: YQIXHABFVQUAAYZNWTZXJDISSLTZJJAZOLJMJSXEENFTUOFOTYKDNNUMFDXLJSWZEVDLCLSYCTSMEXFLBVQYRTBEVZLCTEBPUGTT.