Like the title says, is it possible to produce haploid cells without meiosis?
The question is a bit unclear
Can you produce haploid cells without meiosis?
The question is a bit unclear. for two reasons
What do you mean by "you". You mean can we do such thing with modern technology or do you mean does it ever happen or do you does it ever happen in human cells.
It is also unclear what from. Are you implicitly asking whether "you" (whatever 'you' mean in your sentence) can make a haploid cell from a diploid cell or form anything?
In this answer, I will assume that the question is
Does any lifeforms can make a haploid cell from any other cell without meiosis?
The answer is yes. Many organisms have a long haploid stage during which many mitosis occur. Haploid cells undergoing mitosis results into two haploid cells.
You might want to read more about life-cycle (wikipedia), especially the sections on haplontic life-cycles and haplo-diplontic life cycles.