could a penis stay hard from arousal or is it always eréctile function?

[Morena516]

I was dating a man for 6 months he lives a couple hours away. We went separate ways but still talk everyday. He has continued to date and I have not. I haven't seen him in a year and a half. We used to make love for days 2-3 and his penis got hard,  stayed hard for hours and days. I did not ask but we were talking about a tickle after having an orgasm andHe says to me today. That I had the ability to keep his penis hard. It must be going soft with other women he has dated.  
Based  on readings it's a medical issue but according to this bombshell after 2.5 years he springs this on me.  He is not the sharing kind of guy that wants to be vunerable. So for him to even say that is amazing.  Is this possible for a man to be sexually aroused by one woman and sustain the erection for long periods of time. He gave me orgasm after orgasm up to 20 or more constant one after another and over the course of a few days I'm sure it was more.
What causes that? Is it s medical issue or possible that I arouse him. I am not easily led. I want facts. I have never been with anyone that could give me orgasm after orgasm and is perfectly fitted to me this way. We have never stopped talking and he never mentions others and I don't ask About them. I am curious to know why he would say this to me our connection is deep but is it just sexual? He is always very caring and kind but it's been a while and I'm not trying to be used.
Thank you!

[YardBull]

The fact that this man lives a couple of hours away is problematic for a continuing serious relationship, although it can be done.  You both sound like you had a very physical relationship, so that makes it all the more difficult now.  If his penis was staying erect for hours and days, it sounds like it may have been at least partially induced by medication.