It depends on the cause of your eye floater. There are two kinds of eye floaters. One is physiologic. In this case, eye floaters are benign and won't affect your vision too much which is often the natural outcome of aging. If you belong to this category, you can wear your contacts.
The other is pathologic. In this case, you may have sudden vision recession and other complications. These eye floaters are often a sign of retinal diseases. You not only can't wear contact lenses, you also need to go to see a doctor.
You'd better not wear the contact lenses when you have the eye floaters which will make the situation get worse. You could use the eye drops with anti-inflammation to get rid of the eye floaters. At the same time, you could have the good rest for the eyes. You should not smoke or drink which will stimulate the eyes nerves. You could also use the warm compress to make your eyes get comfortable.
It is okay to wear contacts if your eye floaters is not serious. Most of the eye floaters can not interfere with vision and you can ignore it. And it is no home remedies for eye floaters, just try to live with it. But you need see a doctor if your eye floaters become more serious day by day.