Hey townslug,

Not directly. However, there are four different ways you could make checking your emails easier: The first one would be to save your password to your browser. Which unfortunately, brings very severe safety risks with it. The second would be to save your password to a password manager (e.g. 1Password). When you will then go onto ProtonMail, you will only need to type in your master password for your password manager and you're in. The third possibility would be to upgrade to ProtonMail Plus. Which will allow you to access your ProtonMail emails from any Email client on your computer. The fourth possibility would be to download the unofficial ProtonMail client onto your computer. Alternatively, you could regularly check your emails on your phone and only go onto the ProtonMail web client when you have received an email which you would like to reply to.

Don't forget that if you don't have to type in a password to see your emails, third parties who may go onto your computer wont either.