***** A NON-TEACHER's COMMENT *****
(1) I believe that the answer is NO.
(2) I do believe that the following would be fine:
The students didn't like it that Mrs. Arellano kept us active for the
whole fifty minutes.
(a) The sentence would then be:
The students didn't like it.
("That Mrs. Arellano kept us .... " would then be a noun clause in
apposition with "it." That is, explaining "it.")
(3) Two extra points:
(a) I think that you are very smart not to use "the fact that."
Writing teachers always warn us against using unnecessary words.
(b) I think that some native speakers would not have a big problem
if you used only "that":
Hey! I don't like (it) that you are always insulting me.