Yes, you can connect your Squarespace website to WordPress. You will need to use a plugin like Jetpack to sync the two sites together.
Once you have installed and activated the plugin, you can go to the Jetpack settings page and connect your WordPress site to your Squarespace account. After that, you can start publishing content from WordPress to your Squarespace website.
There are a few things to keep in mind when using this method to connect your WordPress site to Squarespace. First, Jetpack will only sync content that is published on your WordPress site.
So if you have any content in draft form, it will not be synced over to Squarespace. Second, Jetpack will not sync any comments or trackbacks that are made on your WordPress site. So if you want people to be able to comment on your posts from Squarespace, you will need to install a separate plugin like Disqus or Facebook Comments.
Overall, connecting Squarespace to WordPress is a pretty easy process. However, there are a few things to keep in mind before you get started. But as long as you are aware of those limitations, you should be able to get the two sites connected without any problems.