No, that is not possible. Sperm needs to directly enter the vagina and travel up to the fallopian tubes to fertilize an egg.

Pregnancy tests should be able to detect the hormones that are produced while a woman is pregnant. False positives may become evident as a result of a number of factors, among the possible reasons include hormonal imbalances, using certain drugs, or having health issues such as ovarian cysts. If you have any unusual symptoms, for example, a skipped period or nausea, you should consult a doctor for a detailed examination. Through the tests, the doctors can give you the right treatment and guidance. Make sure living healthy is the first thing on your agenda and always look for a medical professional to guide you during the time when you need assurance and information tailored to your condition. Your health is our responsibility and a variety of approaches are already available to assist you.

The  treatment depends on the cause of the urine leakage. I advise you to visit a urologist in person first. Based on some evaluations, the cause of the problem can be known and accordingly the doctor may decide whether your mother needs surgery or medications. 

If you miss your period and you suffer from abdominal pain, it would be wise to see a doctor. These symptoms might be caused by some other conditions like ectopic pregnancy or ovarian cyst. It is strongly advised to consult a gynecologist or obstetrician for examination and treatment.