Real estate sale and family rights
Yes, you can. However, depending on your matrimonial regime and the way the purchase is financed, the property may be personal to one spouse or common.
If you are married in a legal community (communauté réduite aux acquêts), the property will be common if you finance your purchase with common money or a loan. The property will belong to you if you finance it totally or mainly with your own money.
If you are married under a conventional community regime (universal community), the property will in principle be common. It is however necessary to refer to the marriage contract.
If you are married under a regime of separation of property, the property you buy alone will be yours, unless you have, by marriage contract, provided for a partnership of acquests and that this property is part of it.