Yes, I think you can, but finding that person may not be very easy. I have never used a dating service or tried cyber dating, but if there is a site, perhaps a faith based one, maybe that is a good place to start.
Or, you can date as usual, by meeting someone in person through your social circles. You can be honest and state that you are not after sex and just want to bond on a spiritual level before getting intimate, you may be surprised to find a receptive woman. Not all women want to jump into bed with a guy.
I was divorced and was happy to be single but I did hope to meet a man, although I was in no rush to plunge into a new relationship. I met a man at a holiday party who later asked the host of the party to ask me if it was okay for him to call me. I agreed.
I told him that I really wanted to get to know him and become friends before anything further could happen, as I wanted a committed relationship even though neither of us were marriage minded. I had to know that we were right for one another and until I was convinced, there was nothing more I wanted to share with him. So, we dated exclusively for four months before we were intimate. Well, things went very well and I am glad I made that choice because here we are, still together since 2005. Fourteen years and going strong.