The tax rules do not forbid it, and the charges that apply make it almost always the wrong move. Residential property is taxable property, and buying it triggers charges on the member, on the scheme, and again every year it is held.
40% on the member, up to 15% more as a surcharge, a charge on the scheme, and a further charge every year it is held.
Mixed use needs care, and the answer turns on the detail of the title and the use. It is the common case where people assume they are safe and are not.
Commercial property, yes. The company can then pay rent to the scheme, which has to be at a commercial level.
A dwelling is residential property whatever it is used for, so the same charges apply. There are narrow exceptions for certain job-related and institutional accommodation, which rarely help.
A sale to a member, the employer or a connected person has to be at market value. Any difference is an unauthorised payment.
If a property is under offer and you are wondering whether the pension can buy it, ask first. The charges are not recoverable.
A first conversation of about twenty minutes, at no cost to you. Tell us what is on your mind: a pension you have lost track of, a fixed rate ending, a will you keep meaning to write.