Back to the basic question, yes, you can ask for vectors for the ILS - assuming the ATC unit is equipped to provide vectors. I do this a lot for practice, and sometimes even to make my arrival a bit more expedient. I always make sure I throw the word "practice" in there, and I always have the regular visual approach as plan B.
The remark about an extra pair of eyes is a good one. Formally you're still VFR so responsible for your own lookout. Also, it's your responsibility to stay in VMC so you might not want to do this in marginal conditions.
Whether it's wise to learn IFR flying and IFR procedures on your own, without an instructor to teach you how to do this properly, well, I'll leave that to the experts.