You'd have to see what's on in your local area. To find local home ed families, go on Facebook and type into its search bar "home education" followed by your county or city or nearest big city. In some areas there is more happening than others.
As a rule of thumb I would say no, you are unlikely to find a group to go to every day of the week which is free of charge. There are some free things such as park meet-ups, and people might agree to meet at a free museum etc, but usually a home ed group would be meeting somewhere where they have to hire a venue and therefore need to charge people. Or they might go to a soft play or skating rink, which also wouldn't be free. In my county you could probably find something free to go to every day, but only if you're willing to travel the length of the county to do it, and then your travel costs would outweigh any savings on the activities.
BUT social time doesn't have to involve only groups. You might need groups just at first in order to make friends, but then if your kids hit it off with others, you could do playdates with or without parents coming along. My firstborn was super sociable and had a constant round of playdates, usually lasting at least four hours. I might collect a child or two or three and then take the whole gang to the park or nature reserve, or their parents would drop them round to my house for the day. Other days I would send my child off with another family for the day.
A useful feature of home educated kids is that they tend to be much more available to play than schoolchildren are. Because their education is more efficient, they have plenty of time on their hands. Even if they do some formal learning, parents are often willing to rearrange their schedules rather than insisting, as a school would, that the child must be practicing reading at 1pm. Playing is important! Other parents are often eager to promote social time for their kids, and/or the parents want some time to themselves with their kids off their hands! 😁(Yes, that was also on my agenda.)
You might have to invest some time initially in going out to home ed events so you can find the families whose kids like to play with yours, where it's convenient and the other parents are also keen. The more often they see each other, the faster the friendships can form.