If you have a 2-year contract with at&t. Can you also get a contract with verizon?

If you have a 2-year contract with at&t. Can you also get a contract with verizon?

Will they know that you already have a contract with another company??? ... Because my at&t service i have a 2-year contract with them n they are suspended so i want to just go ahead and get a verizon contract and just forget about at&t will they know i have a bill with at&t already and turn me down??? Or will they jus let me start a contract with no problem>?????