The answer is that yes, you will normally be able to conceive naturally and without too much difficulty providing you and your partner are both otherwise fertile and healthy. Ovaries release an egg into the fallopian tube that is situated most closely to them, and you will need to accept the fact that only one out of two ovulations will generally be productive when you have one fallopian tube. Statistically, that may reduce your chances of getting pregnant.
Don't let that get you down though instead, use it as a motivator to track your fertility better, and live a healthier life to increase your fertility. There is nothing you can do about having one fallopian tube, but there are lots of things you can do to increase your chances of getting pregnant. The steps you could undertake to swing the odds of getting pregnant when that egg is released into your functioning tube, usually once in two cycles, include:Tracking your cycles and fertility. Some tools that you can use are an ovulation calendar, fertility charting with basal body temperature, and ovulation tests. Eat healthily and variedly, exercise regularly and be at a healthy weight, and take folic acid supplements. Refrain from using alcohol and cigarettes, and also consider cutting back on coffee if you drink it. And don't forget to get your partner to do the same. Of course, having intercourse during the days before ovulation and on ovulation day itself is important. But, having sex around three times a week means your partner's sperm count will be optimal. Too much, and too little, sex both damage the quality of sperm.