You can't unblock on your own from somebody else's profile unless you have access to that account yourself.
How To Unblock Yourself From Someone's Facebook Account
Nonetheless, there are a few things that might make you really feel much better:
: > You can still see whatever they upload openly (as long as you aren't seeing it as/from the blocked account). You just will not see what they post to buddies.
: > You can still see their public profile by visiting it's unique LINK (www.facebook.com/firstname.lastname, typically).
: > You can make a new account as well as with any luck add the individual who obstructed you to this brand-new account (acting to be someone else). However, I see this as a last resort and do not suggest it because it can backfire and make things even worse than initially. This is against Facebook's TOS, likewise.
: > If you know their Facebook e-mail address, you can write them an e-mail from a normal email account as well as it might go to their Facebook inbox (I assume this still functions).
: > There are various other means to contact the person (text message, e-mail, smoke signals/pigeons, etc.).
In addition to those points, you can ask to unclog you. If they do not, feel much better understanding the individual that blocked you doesn't care any longer (if they relatively never ever cared, really feel also better).
Don't seem like you can't obtain a message to this person, since you can if you really intend to.