Yes. If I have the flu I will lie there with ectopics going on a lot of the time. My current spate of ectopics this last week I'm wondering is due to some milder infection.
Of course. The heart rate is directly related to sickness and health. It is affected by fever--the normal accompaniment to many illnesses--and by stresses of all kinds.
When we are sick, the functioning of most of the organs of our body--lungs, kidneys, gut, for example--are affected. The heart is an organ. It is affected by all those changes, too.
It's normal.