The answer is Yes.
If you have bought a charger with higher charging current (A) than the original charger that came with your old device and you are worried with thoughts like “can I charge my phone with high voltage/ampere charger? Is it safe? Will fast charger damage my phone battery?” Well such concerns have been answered here in details:
Products powered with lithium ion or lithium ion polymer batteries got built-in circuits to limit the charging current that could be safely fed to the battery. Rechargeable lithium batteries especially lithium ion-polymer batteries are very sensitive to charge rate and overcharging is extremely fatal for them. So circuits are designed to make sure that an appropriate charge rate is maintained even if original charger is not used.
Quick Charge technology developed by Qualcomm and others have got fair market share today and smartphones that boast fast charging utilize these technologies that charge phone at higher voltage/amperes thus increasing the charging speed. QC, PD, Super VOOC, Dart, Mi Turbo charging to name a few support wide range of voltages [3.6 V to 20+ V] and are capable of automatically detecting device protocols and start charging accordingly. So in case you use QC/PD charger or any other fast charger to charge your phone that accepts only 5V charging current you can safely charge that too with those chargers.
These days standardized USB chargers are increasingly becoming common that could be used to charge or power wide range of gadgets like your phones, tablets, cameras, mobile broadband (MBB), routers, Wi-Fi range extenders, modems, wingles, electric shavers, hair trimmers, music players, rechargeable flashlights and even your power banks. The USB charging especially type-c charging really eliminates the need of varying chargers and one single charger could be used for charging various devices. Now a days, USB charging ports/type-c ports are available in hotel rooms, airplanes, luxury buses, trains, cars and trucks that really ease your life in case your forgot to bring your charger with you or you are running out of battery juice.