Yes, he likes you.
I would be cautious, this sort of behavior is unusual, even for someone who likes you. The reason behind it is up for interpretation. In the most generous interpretation, he doesn't know how to act either and is attempting to hint that he likes you. In the most uncharitable interpretation, he is attempting to lovebomb someone who doesn't have the experience to recognize the red flag.
Either way, I would approach with caution, because you don't need to be malicious in order to be abusive. That is to say, abuse very rarely occur because someone is actively trying to manipulate you. Typically, it occurs because someone has an unrealistic expectation of how relationships work in practice, and this expectation biases their actions and judgment (funnily enough, Obsession is about this exact theme).
What this means is that inexperienced people are typically more likely to be abusive just by sheer virtue of not understanding what a relationship is like. I don't want to be overly negative - I want to be clear that it's possible that he's just also inexperienced and that he is wise enough to learn quickly.
If you want to interpret his actions charitably and if you want to give him a chance, then I would highly recommend you have a good conversation at the very beginning about your (and his) expectations of a relationship, both in the short term (ie, what do you expect the other person to do in x/y situation? Is there anything that the other person may do or may stop doing that would cause you to feel upset?) and in the long term (ie, do you have compatible life goals? Do you expect that you will have a long distance relationship at some point in the future? Would you be OK with that?). Don't be scared to talk about uncomfortable or shameful subjects - it's better to get these questions sorted now than to sort them out later, when shit has already hit the fan.
And, also be aware that because both of you are likely to be inexperienced, both of your expectations are almost certainly going to change over time, and so it will be a good idea to build a habit of checking in once in a while to see if those expectations have changed
One final but irrelevant advice: hold off on sexual intimacy. It's important to build a relationship around life habits rather than just sex. That, and people will typically be guarded when in a new relationship. It typically takes about 1 year of close contact before someone starts to lower their guard, and 2 years before someone fully shows who they are (this also happens to be why most relationships last 2 years). I guarantee, the worst thing you can ever do in a relationship is to have sexual contact with someone who turns it to be crazy. It's going to be hard to hold off, I get it. Been there, done that. But it's vitally important for the overall health of the relationship to not have sexual intimacy for at minimum 6 months, and ideally at least longer than a year