Yes—reducing reflections is possible, but in practice the usual solution is to replace the glazing with anti-reflective glass or acrylic that already has the coating applied. Museum/gallery framing suppliers sell this type of product, and brands like Tru Vue were mentioned in the answers.

For plastic, there are also anti-reflection coated optical plastic sheets/windows available from optics suppliers, but they can be relatively expensive and may not match the thickness or fit of a standard frame.

Applying an anti-reflective coating yourself is generally not a practical consumer option. The answers note that spray-on AR coatings are not commonly available and may require high-temperature processing, which would likely damage cheap plastic frame fronts.

Another option is to frame without glazing at all, if the artwork and environment allow it.

So the realistic choices are:

1. replace the front with AR-coated glass/acrylic,
2. remove the glazing entirely, or
3. accept some reflections and improve placement/lighting to minimize glare.