Is it safe to breastfeed in bed?

No. It is safe to breastfeed in bed only if the breastfeeding mom won't fall asleep in bed with the baby (because there is a small chance that the baby will get tangled up in something and suffocate, or the baby might be accidentally smothered by the adult in the bed).
Yes. Make yourself comfortable and then start your feed. You baby will latch just fine.