I believe the short answer is yes, it could take a couple of days, depending on your power converter. And, after sitting for 2 years, you might find you need a new battery.
Here's something I found on the internet that explains better than I can:
RV Converters and Amp Draw - RV Information (RV Maintenance)
"Another question I was asked was: I know my converter is also a battery charger so why won’t it bring my discharged batteries back to a full charge?
RV converters do provide a charge to your RV house batteries, but only a small portion of the converters amperage rating is used for this. Normally 3 to 5 amps, which are not nearly enough to charge batteries that are discharged.
The converter battery charger is designed to keep the house batteries topped off with this trickle charge. Another problem with older RV converters is they charge at a fixed voltage in the range of 13.5 volts. If your batteries are fully charged this can be too much for a float charge and over time it will deplete the water level in the batteries cells. This is why it’s important to check the water level in your batteries on a regular basis, especially when you leave the RV plugged in for extended periods of time. You need a three stage charger that can provide a bulk charge then an absorption charge and finally a float charge. Newer RV converters on the market are capable of charging the batteries this way."