Sure it's possible - every pregnancy is different, and remember that with a second pregnancy, you already have a kid who's tiring you out. If you aren't keeping much down, you can also have your blood sure level drop to the point that you are nauseated because of that too - it's called "hyperemesis gravidum" which is fancy medical Latin for "constantly barfing during pregnancy." Did you have this at all during your first pregnancy? If not, do you know the common OTC cures? Ginger ale, stirred flat - use regular, not diet because you need the sugar in it, but ginger is very soothing to the stomach. Eat a lot of small meals and always try to keep something in your stomach. You could try a great liquid nutritional supplement too, to be sure that whatever nutrients you DO take in and keep down are getting into your cells and being fully absorbed - I can suggest an excellent one if you want to go that route. There are also meds to control nausea that are often prescribed during pregnancy - some women are thrilled with this, others don't want to use meds at all.
I think, if you can keep your blood sugar level as stable as possible, it might help. When I worked in a women's clinic, we saw this in women all the time - often we just ran an IV of water, salt & sugar - it bypassed the stomach and got the sugar level up, and stopped the nausea. Once you get sick and can't eat, the problem can perpetuate itself. If this continues, don't hesitate to ask your OB about this option!