Are there currently any fire restrictions?

Yes, Stage 2 Fire Restriction are in effect.

During Stage 2, the following is prohibited at all times:
1. Igniting, building, maintaining, or using a fire, including fires fueled by combustible materials such as wood, charcoal, briquettes, and/or coal. 
Exemption: Using a stove, wood pellet smoker, grill, fire ring, or other manufactured device that is fueled solely by pressurized liquid petroleum or pressurized liquid petroleum gas (LPG) fuels that can be turned on and turned off (for example, a gas grill) provided the devices are located in a Developed Site.
2. Smoking outdoors.
Exemption: Smoking within an enclosed vehicle or Developed Site.
3. Use of internal combustion engines for common household-only activities, such as landscaping or property maintenance and repair.
Exemption: Operating internal combustion engines with spark arresting devices when the use is for common household-only activities such as landscaping, property maintenance and repair.
4. Use of explosive targets, tracer rounds, or incendiary ammunition.
Exemption: None.
5. Outdoor mechanical and industrial operations such as welding and/or the use of acetylene or other torch with an open flame.
Exemption: None.

Additional Exemptions during Stage 2:
1. Persons with a written variance specifically exempting them from the effect of this Order. 
2. By Persons operating generators or pumps with an approved spark arresting device in a Developed Site, as defined above, between the hours of 8:00PM and 9:00AM.
3. Any Federal, State, or local officer, or member of an organized rescue or firefighting force in the performance of official duty subject to A.R.S. § 49- 501(C) where applicable.
4. For emergency repair of public utilities and railroads and other health and safety mitigation measures when operated by a public utility or railroad and implemented in accordance with an agency fire mitigation plan.
An exemption does not absolve any Person(s) from liability or responsibility for any fire started by the exempted activity.