I haven't walked this route, but I expect that you will be presented with numerous opportunities through the day when you walk. This might start with leaving in the morning at the same time as other pilgrims, and walking with them for a while if they maintain the same pace. If they pass you or you them, then they are not walking at the same pace, and other than sharing a greeting, or the prospect that one or other of you slow down, there isn't going to be much prospect for a longer 'connection'.
The next opportunity is going to be when you stop for a coffee/snack/meal during the day. Here you might find other solo pilgrims willing to chat for a while, and you might even decide to walk together. Or if you are both heading to the same place, making arrangements to meet at the end of the day for a drink or a meal.
My experience is that there are opportunities during the evening in albergues as well to engage, particularly if there is a communal meal or a common area where people congregate.
As an aside, a group might welcome you if you make the effort, but don't expect that to happen just because you try and attach yourself to them.
After my first camino, where the person I started with walked much faster than me as it turned out, I have always mentally prepared myself to walk alone, and walking in company has always been a welcome addition to the experience.