First: If that 30 amp outlet is "Newly installed" make sure it is 120 volt first (Between the two flat slots). If you used it with your old trailer.. Then it's ok.
Now; The answer to your question: YES.
In fact at home it's a good thing cause you will quickly learn the limits of 30 amps. Basically the rule is this: From the following list pick 2
Air conditioner (only one of these if you have two)
Microwave
Water heater
Dead batteries
Space heater. (You may need to install a heavy duty outlet for a space heater, I did).
Presence or absence of Fridge on AC may make a difference.
Televisions and radios do not count
I ran a test with two freshly cleaned Carrier Air V 13,500 btu (13.5 amp per the label) Air Conditioners and they drew exactly 27 amps.. Strange, that is 13.5 times 2.. I now have one of them plus an Advent 15,000 BTU draws the exact same power.. Fresh cleaned.. All clogged up with debris and cotton-wood tree seeds.. It draws MORE.
Home was where I park it. but alas the.
2005 Damon Intruder 377 Alas declared a total loss
after a semi "nicked" it. Still have the radios
Kenwood TS-2000, ICOM ID-5100, ID-51A+2, ID-880 REF030C most times