No. Your English tense does not match the time frame. You can say, "Tomorrow night I will read that book," "Tomorrow night I will have read that book," or "Tomorrow night I will be reading that book." The time frame of "tomorrow" requires you put your sentence in some version of the future in English. "I read" can be interpreted as either present or past, but cannot be future without the word "will".
In Klingon we don't mark the tense in the verb, so we rely on words like, "tomorrow" to give us tense. So while vIlaD can be interpreted as, "I read it," in some contexts, with the word wa'leS as the time frame, it must be interpreted as, "I will read it".