The HOA Board has approved other requests to upgrade to central air; there are published procedures for making the request and there may already be published guidelines. There should be no problem with the wiring as many of the units are already equipped with the air conditioning.
You would have to ask the HOA to be certain. Some very approximate guidelines to base a guess on: the property has a fenced patio at the back where the air conditioner's compressor could be placed, the townhouse is fairly new so wiring may be able to handle the added demand, the home has central forced air heat, the nearby 513 Latimer was sold in 2001 and had air conditioning.
All HOA's will require you to submit to architectural review for those types of changes. If it is baseboard heating it may be a challenge. If you have central heating with ducts and other condos have condenser units it may be possible. You will need to review and talk with the HOA.