Yes conception is possible during a fever. Cycles of ovulation are generally not affected by fevers. The only way to absolutely control conception is through abstinence. If, however a women's supply of body fat goes below a certain level she will stop menstruating (amenorrhea), and will reduce the likelihood of a successful pregnancy. But body fat levels would have to be extremely low, as in the long-term stressor of starvation which would have to continue for many weeks, unlike the general behavior of a fever which typically lasts one to four days.
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