Yes, possible, with some variations:
«Yesterday, at the exhibition, a lot of people told me it was
impossible to write a 1000-page book in a month but
I know [now, at home] (that) I have written my
"Brief Introduction to Arithmetics", which has 1280 pages in a small
font, in a space of three weeks»
«Yesterday, at the exhibition, a lot of people told me it was
impossible to write a 1000-page book in a month but
I knew [then, at the exhibition] (that) I had written my
"Brief Introduction to Arithmetics", which has 1280 pages in a small
font, in a space of three weeks»