Yes, you can!
If you are going to iron silk, follow these basic directions:
Use an ironing board and an iron that has a dedicated silk setting.
If your iron does not have a silk setting, use the lowest temperature to start; only increase slightly when and if needed.
Make sure that both your ironing board and the surface of your iron
are immaculately clean. Silk stains very easily, and any residual stains
on these surfaces will be far more likely to transfer to silk due to
the heat.
You may also use a clean white cotton sheet between the silk item
and the ironing board as well as a "press cloth" so you don't touch the
iron directly on to the silk fabric. This makes more sense when you are ironing silk clothing as opposed to silk sheets.
Silk is best ironed while slightly damp. Do NOT wring out your silk
sheets or clothing. Instead, air dry them out of direct sunlight until
they are nearly dry.
Turn the silk inside out (you will be ironing the "wrong side" of
the item). For Mulberry Park Silks charmeuse sheets, this means you will NOT be ironing the shiny side, but instead, the duller side.
Spot test iron in a discreet location to make certain it will not burn.
Move iron quickly across the surface of the silk; do not use a back
and forth motion which can cause scorch marks. If you are ironing
clothing, or a pillowcase or sheet set with only light wrinkles, use the
press cloth between your iron and the silk and gently press out the
wrinkles as opposed to moving back and forth.