Sorry for the very noob question, but I googled for it without finding a proper answer.
What I mean is not moving your wallet from a provider to another, but having multiple different wallets containing different amounts of bitcoins.
Of course it is, you can have as many bitcoin wallets as you can be bothered to create

Personally I advise you to have -
1.) At least 1 fully synced bitcoin core wallet
2.) Multiple paper wallets for cold storage (safe offline storage)
3.) One online/mobile wallet for everyday spending of small/medium amounts
Spread your main bitcoin stash equally amongst 1.) & 2.)
I have all 3 of the above plus a trezor but I won't explain that yet as you're still a noob. Good luck bro.