Bottom line? It’s going to depend on how important physical touch is to him.
Touch being hugely important to you, means that he’d either have to share your aversion, or not particularly care one way or another, or fall somewhere in that spectrum. That’s actually more likely than not, if you’re in a serious relationship, because (speaking from experience!!!) people who feel & express love through touch, & people who find touch disgusting and repulsive; can rarely stand being in the same room together, much less in a relationship.
NO! -9 -8 -7 -6 -5 -4 -3 -2 -1 -Eh- +1 +2 +3 +4 +5 +6 +7 +8 +9 YES!
Another way to look at it is like this
Will Not Tolerate (hard limit - need) //
Hate (soft limit - want) //
Dislike //
-Ambivalent-
Like //
Love (soft limit - want) //
Require (hard limit - need)
^^^Pretty much any & every conceiveable aspect of personality and life (who you are, what you value, likes/dislikes, what you need&want in life and out of life) will have it’s own little spectrum of how important it is to you. From socks on the floor, to having kids, to living in Prague, to the way someone gets mad, to physical touch, to income, to (a few thousand examples later). Most things? Most of us are going to fall in the “Eh” range. We don’t particularly care, one way or another. A lot of things we’ll like/dislike, but not so strongly that we alter the course of our lives in order to achieve or avoid it. SOME things, however, we’re going to feel very strongly about, one way or another. A giant part of dating? At least, dating with an eye on long term partnership, is learning those spectrums about our partners and ourselves. They don’t always, or even often, have to line up... sometimes it’s flat out better that they don’t line up. Strengths and weaknesses, likes and dislikes, are often complimentary rather than conflicting. But where there IS conflict? Sometimes that can be managed, sometimes it can’t. But that doesn’t mean that either person is an asshole. Or that you don’t love them, or that they don’t love you. It just means things aren’t going to work. Or, at the very least, aren’t going to work the way things are.
How long have the 2 of you been together?
I ask because there are some really predictable phases most relationships go through... and lining up interpersonal & life priorities tend to hit / end relationships at the 6mo & 2year mark, respectively. The first 6mo seeing if the 2 of you get on, and the first couple years seeing if your lives work well -or could do- together. There’s another watershed at the 3year mark as the compromises people try to work around interpersonal & life-stuff misalignment have been given some serious time to work (and haven’t). So it’s one of those woethwhile things, I’ve found, to take a step back and look at where I am in relationship-arc-land. If I’m right around the 6mo or 2-3year marks? The problem is very likely to be smack dab in the middle of dealbreaker territory. If it’s been 5 minutes or 5 years? There’s either no deal on the table TO break, or this single issue is far more likely to be a symptom of a waaaaaaay bigger series of problems, rather than “the” problem, itself. So, for example, if you two have been together for 5 years? Whilst the problem may be the most obvious around touch-issues, the source is more likely to be feeling loved (or not), or having kids, or schedules, or whatever. So the solution doesn’t actually involve touch at all, because that’s been fine for years... but stepping up love languages/ care/attention; or sorting out kid-logistics, or changing schedules around, etc. to get unmet needs met. But if the 2 of you have only been together for a few months? The situation will be much more direct, and solutions simpler.