A couple of years ago I asked exactly this question in Can I (easily) change this chainring?
And the answer turned out to be "yes". It was both cheap and easy. I bought a new 104 BCD crankset and chainring from eBay. This took some searching but I found a new Prowheel Zephyr 238A crankset for about £20 then bought a new Deckas 44T chainring for under £10. Both of these are at the cheap and cheerful end of the market, but then my bicycle is a 2020 Pinnacle Lithium 1 that only cost £300 (about the same as your bicycle).
And I'm very pleased with the result. The new crankset and chainring fitted perfectly and make the bicycle far more enjoyable to ride.
I note other answers have pointed out that your frame may limit the size of the chainring you can fit, but I'd be surprised if this was an issue on an entry level bicycle. Even if it is, once you have the 104 BCD crank fitted you can try different chainrings to find the best as it's quick and easy to swap chainrings.
In my case I wasn't increasing the chainring size very much. I went from 40T to 44T and I didn't need to change the chain length. You would be making quite a big change so you may find the existing chain is too short and pulls the derailleur too far forward so you need to either extend the chain or buy a new chain. In any case, if you're spending money on a shiny new chainring it wouldn't hurt to get a new chain to go with it.
For interest, this is the crankset and chainring I used:
My bicycle has the same seven speed freewheel as yours (14 - 28) and I find a 44T chainring ideal. Fifth gear is fine around town while seventh is high enough to be usable down hills.
Now you have identified your bicycle as a Schwinn Boundary 29 I managed to find a picture of the chainring:
Note that there is a depression in the frame to clear the chainring, and any new chainring you fit would have to be small enough to fit in this depression. I've marked the space available with a red arrow. A 44T chainring has a radius 50% greater than your 30T chainring so it might just about fit. You'll have to measure your current ring carefully to check.
Your bike uses square taper fittings for the crankset, which is fairly standard for cheap cranksets, so a crankset like the Prowheel I used will be suitable.
The Schwinn Boundary 29 looks a nice bike for the price, so I wouldn't worry about spending small amounts of money to upgrade it.