Yes. Medically necessary liquids, gels and aerosols are exempt from the TSA 3-1-1 liquids rule, so you can carry larger amounts than the usual travel-size limit through airport security, as long as the quantity is reasonable for your flight and you declare it.
The exemption has conditions. Before screening begins, tell the TSA officer that you have medically necessary liquids, then take them out of your carry-on bag and put them in a separate bin, along with related supplies such as freezer packs, IV bags, pumps and syringes. Officers may X-ray the items, open them, or test them for traces of explosives, but screening never involves putting anything into the liquid. If you do not want a liquid medication X-rayed or opened, say so; extra steps will be taken to clear it, and you will get additional screening that can include a pat-down. Ice packs, freezer packs and gel packs used to keep medication cool are allowed frozen, partly frozen or melted. TSA says clearly labeling medication helps screening go faster. If a medical liquid sets off an alarm that cannot be resolved, it may not be allowed through.
Source: TSA, Disabilities and Medical Conditions
Image: TSA checkpoint at John Glenn Columbus International Airport by Michael Ball, CC0, via Wikimedia Commons.